Pith. sign in

REVIEW 148 references

Wormhole geometries in modified gravity

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2412.09228 v1 pith:2OB4LLXK submitted 2024-12-12 gr-qc

Nailya Ganiyeva This is my paper · ORCID
classification gr-qc
keywords conditionssolutionswormholeenergyspacetimecomplicateddemonstratederive
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

In this thesis, we investigate traversable wormhole spacetimes within the context of a covariant generalization of Einstein's General Relativity, namely the energy-momentum squared gravity, denoted as $f\left(R,T_{ab}T^{ab}\right)$. Here, $R$ represents the Ricci scalar and $T_{ab}$ is the energy-momentum tensor. Specifically considering the linear form $f\left(R,T_{ab}T^{ab}\right)=R+\gamma T_{ab}T^{ab}$, we demonstrate the existence of numerous wormhole solutions, wherein the matter fields satisfy all energy conditions, these being the null, weak, strong, and dominant energy conditions. Remarkably, these solutions do not require fine-tuning of the free parameters inherent to the model. Given the complicated nature of the field equations, we develop an analytical recursive algorithm to derive these solutions. One limitation is that these solutions lack natural localization, necessitating then a matching with an external vacuum spacetime. To address this, we derive the junction conditions for the theory, establishing that any matching between two spacetimes must be smooth, i.e. without the presence of thin-shells at the boundary. Ultimately, applying these junction conditions allows us to match the interior wormhole spacetime with an exterior vacuum described by the Schwarzschild solution. Therefore, we obtain traversable, localized, static, and spherically symmetric wormhole solutions that satisfy all energy conditions across the entire spacetime range. Additionally, we demonstrate that the approach used in this study can be easily generalized to more complicated dependencies of the action on $T_{ab}T^{ab}$, provided there are no crossed terms between $R$ and $T_{ab}T^{ab}$.

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

148 extracted references · 92 linked inside Pith

  1. [1]

    J. L. Rosa, N. Ganiyeva and F. S. N. Lobo, ``Non-exotic traversable wormholes in f ( R,T_ ab T^ ab ) gravity,'' Eur. Phys. J. C 83 (2023) no.11, 1040 [arXiv:2309.08768 [gr-qc]]

    arXiv 2023

  2. [2]

    F. S. N. Lobo,``Wormholes, Warp Drives and Energy Conditions'', Fundam. Theor. Phys. 189 (2017), pp.-279 Springer, 2017

    2017

  3. [3]

    Visser,``Lorentzian wormholes: From Einstein to Hawking’’, (Springer-Verlag, New York, 1996)

    M. Visser,``Lorentzian wormholes: From Einstein to Hawking’’, (Springer-Verlag, New York, 1996)

    1996

  4. [4]

    Black Holes and Time Warps: Einstein's Outrageous Legacy

    K.S. Thorne, "Black Holes and Time Warps: Einstein's Outrageous Legacy" (W.W. Norton & Company, New York, 1994)

    1994

  5. [5]

    Introducing Einstein’s Relativity

    R. d’Inverno. "Introducing Einstein’s Relativity". Clarendon Press, 1992. ISBN: 978-0-19-859686-8

    1992

  6. [6]

    Einstein,``The Field Equations of Gravitation,'' Sitzungsber

    A. Einstein,``The Field Equations of Gravitation,'' Sitzungsber. Preuss. Akad. Wiss. Berlin (Math. Phys. ) 1915 (1915), 844-847

    1915

  7. [7]

    Report of the Lick Observatory

    Campbell, W. W. (1909). "Report of the Lick Observatory". Publications of the Astronomical Society of the Pacific. 21 (128): 213–214

    1909

  8. [8]

    The Crocker Expedition of 1908 from the Lick Observatory, University of California

    W. W. Campbell, "The Crocker Expedition of 1908 from the Lick Observatory, University of California", Publications of the Astronomical Society of the Pacific, vol. 20, no. 119, pp. 63, Apr. 1908, The Astronomical Society of the Pacific

    1908

Show all 148 references
  1. [9]

    In Search of Planet Vulcan, The Ghost of Newton's Clockwork Machine

    Baum, Richard, Sheehan, William (1997). "In Search of Planet Vulcan, The Ghost of Newton's Clockwork Machine". New York: Plenum Press

    1997

  2. [10]

    The Relativity Effect in Planetary Motions

    Clemence, G.M. (1947) "The Relativity Effect in Planetary Motions". Reviews of Modern Physics, 19, 361-364,

    1947

  3. [11]

    C. M. Will, ``The Confrontation between General Relativity and experiment,'' Living Rev. Rel. 9 (2006), 3 [arXiv:gr-qc/0510072 [gr-qc]]

    2006 arXiv

  4. [12]

    F. W. Dyson, A. S. Eddington, C. Davidson, A Determination of the Deflection of Light by the Sun's Gravitational Field, from Observations Made at the Total Eclipse of May 29, 1919, Philosophical Transactions of the Royal Society of London Series A,vol. 220, pp. 291-333, Jan. 1920

    1919

  5. [13]

    An Expedition to Heal the Wounds of War

    Matthew Stanley, "An Expedition to Heal the Wounds of War” The 1919 Eclipse and Eddington as Quaker Adventurer", Isis vol. 94, no. 1, pp. 57-89, 2003

    1919

  6. [14]

    Kennefick, ``Not only because of theory: Dyson, Eddington and the competing myths of the 1919 eclipse expedition,'' Einstein Stud

    D. Kennefick, ``Not only because of theory: Dyson, Eddington and the competing myths of the 1919 eclipse expedition,'' Einstein Stud. 12 (2012), 201-232 [arXiv:0709.0685 [physics.hist-ph]]

    2012 arXiv

  7. [15]

    Arthur Eddington was innocent!

    Philip Ball, "Arthur Eddington was innocent!", Nature, September 7, 2007, ISSN: 1476-4687

    2007

  8. [16]

    Testing relativity from the 1919 eclipse—a question of bias

    Daniel Kennefick, "Testing relativity from the 1919 eclipse—a question of bias", Physics Today, volume 62, number 3, pages 37-42, March 2009, ISSN: 0031-9228

    1919

  9. [17]

    J.B. Sirius B and the Measurement of the Gravitational Redshift

    Holberg, "J.B. Sirius B and the Measurement of the Gravitational Redshift". J. Hist. Astron. 2010, 41, 41–64

    2010

  10. [18]

    Effective Temperature, Radius, and Gravitational Redshift of Sirius B

    J. L. Greenstein, J. B. Oke, H. L. Shipman, "Effective Temperature, Radius, and Gravitational Redshift of Sirius B", Astrophysical Journal, volume 169, page 563,1971

    1971

  11. [19]

    Fourth Test of General Relativity

    Irwin I. Shapiro, "Fourth Test of General Relativity", Phys. Rev. Lett., volume 13, issue 26, pages 789--791 (1964), American Physical Society

    1964

  12. [20]

    Fourth Test of General Relativity: New Radar Result

    Irwin I. Shapiro, Michael E. Ash, Richard P. Ingalls, William B. Smith, Donald B. Campbell, Rolf B. Dyce, Raymond F. Jurgens, Gordon H. Pettengill, "Fourth Test of General Relativity: New Radar Result", Phys. Rev. Lett., volume 26, issue 18, pages 1132--1135 (1971), American P...

    1971

  13. [21]

    A test of General Relativity using radio links with the Cassini spacecraft

    B. Bertotti, L. Iess, P. Tortora, "A test of General Relativity using radio links with the Cassini spacecraft", Nature, volume 425, issue 6956, pages 374--376 (2003)

    2003

  14. [22]

    F. S. N. Lobo, ``The Dark side of gravity: Modified theories of gravity,'' [arXiv:0807.1640 [gr-qc]]

    arXiv

  15. [23]

    R. P. Woodard, ``How Far Are We from the Quantum Theory of Gravity?,'' Rept. Prog. Phys. 72 (2009), 126002 [arXiv:0907.4238 [gr-qc]]

    2009 arXiv

  16. [24]

    Clifton, P

    T. Clifton, P. G. Ferreira, A. Padilla and C. Skordis, ``Modified Gravity and Cosmology,'' Phys. Rept. 513 (2012), 1-189 [arXiv:1106.2476 [astro-ph.CO]]

    2012 arXiv

  17. [25]

    M. S. Morris and K. S. Thorne, ``Wormholes in space-time and their use for interstellar travel: A tool for teaching General Relativity,'' Am. J. Phys. 56 (1988), 395-412

    1988

  18. [26]

    F. S. N. Lobo and M. A. Oliveira, ``Wormhole geometries in f(R) modified theories of gravity,'' Phys. Rev. D 80 (2009), 104012 [arXiv:0909.5539 [gr-qc]]

    2009 arXiv

  19. [27]

    Capozziello, T

    S. Capozziello, T. Harko, T. S. Koivisto, F. S. N. Lobo and G. J. Olmo, ``Wormholes supported by hybrid metric-Palatini gravity,'' Phys. Rev. D 86 (2012), 127504 [arXiv:1209.5862 [gr-qc]]

    2012 arXiv

  20. [28]

    J. L. Rosa, J. P. S. Lemos and F. S. N. Lobo, ``Wormholes in generalized hybrid metric-Palatini gravity obeying the matter null energy condition everywhere,'' Phys. Rev. D 98 (2018) no.6, 064054 [arXiv:1808.08975 [gr-qc]]

    2018 arXiv

  21. [29]

    J. L. Rosa, ``Double gravitational layer traversable wormholes in hybrid metric-Palatini gravity,'' Phys. Rev. D 104 (2021) no.6, 064002 [arXiv:2107.14225 [gr-qc]]

    2021 arXiv

  22. [30]

    J. L. Rosa and J. P. S. Lemos, ``Junction conditions for generalized hybrid metric-Palatini gravity with applications,'' Phys. Rev. D 104 (2021) no.12, 124076 [arXiv:2111.12109 [gr-qc]]

    2021 arXiv

  23. [31]

    J. L. Rosa, R. Andr\'e and J. P. S. Lemos, ``Traversable wormholes with double layer thin shells in quadratic gravity,'' Gen. Rel. Grav. 55 (2023) no.5, 65 [arXiv:2305.06829 [gr-qc]]

    2023 arXiv

  24. [32]

    J. L. Rosa and P. M. Kull, ``Non-exotic traversable wormhole solutions in linear f ( R,T ) gravity,'' Eur. Phys. J. C 82 (2022) no.12, 1154 [arXiv:2209.12701 [gr-qc]]

    2022 arXiv

  25. [33]

    N. M. Garcia and F. S. N. Lobo, ``Wormhole geometries supported by a nonminimal curvature-matter coupling,'' Phys. Rev. D 82 (2010), 104018 [arXiv:1007.3040 [gr-qc]]

    2010 arXiv

  26. [34]

    Montelongo Garcia and F

    N. Montelongo Garcia and F. S. N. Lobo, ``Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition,'' Class. Quant. Grav. 28 (2011), 085018 [arXiv:1012.2443 [gr-qc]]

    2011 arXiv

  27. [35]

    Harko, F

    T. Harko, F. S. N. Lobo, M. K. Mak and S. V. Sushkov, ``Modified-gravity wormholes without exotic matter,'' Phys. Rev. D 87 (2013) no.6, 067504 [arXiv:1301.6878 [gr-qc]]

    2013 arXiv

  28. [36]

    Capozziello, F

    S. Capozziello, F. S. N. Lobo and J. P. Mimoso, ``Energy conditions in modified gravity,'' Phys. Lett. B 730 (2014), 280-283 [arXiv:1312.0784 [gr-qc]]

    2014 arXiv

  29. [37]

    Capozziello, F

    S. Capozziello, F. S. N. Lobo and J. P. Mimoso, ``Generalized energy conditions in Extended Theories of Gravity,'' Phys. Rev. D 91 (2015) no.12, 124019 [arXiv:1407.7293 [gr-qc]]

    2015 arXiv

  30. [38]

    L. A. Anchordoqui, S. E. Perez Bergliaffa and D. F. Torres, ``Brans-Dicke wormholes in nonvacuum space-time,'' Phys. Rev. D 55 (1997), 5226-5229 [arXiv:gr-qc/9610070 [gr-qc]]

    1997 arXiv

  31. [39]

    Bhawal and S

    B. Bhawal and S. Kar, ``Lorentzian wormholes in Einstein-Gauss-Bonnet theory,'' Phys. Rev. D 46 (1992), 2464-2468

    1992

  32. [40]

    Dotti, J

    G. Dotti, J. Oliva and R. Troncoso, ``Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns,'' Phys. Rev. D 76 (2007), 064038 [arXiv:0706.1830 [hep-th]]

    2007 arXiv

  33. [41]

    M. R. Mehdizadeh, M. Kord Zangeneh and F. S. N. Lobo, ``Einstein-Gauss-Bonnet traversable wormholes satisfying the weak energy condition,'' Phys. Rev. D 91 (2015) no.8, 084004 [arXiv:1501.04773 [gr-qc]]

    2015 arXiv

  34. [42]

    K. A. Bronnikov and S. W. Kim, ``Possible wormholes in a brane world,'' Phys. Rev. D 67 (2003), 064027 [arXiv:gr-qc/0212112 [gr-qc]]

    2003 arXiv

  35. [43]

    F. S. N. Lobo,``A General class of braneworld wormholes,'' Phys. Rev. D 75 (2007), 064027 [arXiv:gr-qc/0701133 [gr-qc]]

    2007 arXiv

  36. [44]

    Kat rc and M

    N. Kat rc and M. Kavuk, `` f(R,T_ T^ ) gravity and Cardassian-like expansion as one of its consequences,'' Eur. Phys. J. Plus 129, 163 (2014) [arXiv:1302.4300 [gr-qc]]

    2014 arXiv

  37. [45]

    Roshan and F

    M. Roshan and F. Shojai, ``Energy-Momentum Squared Gravity,'' Phys. Rev. D 94, no.4, 044002 (2016) [arXiv:1607.06049 [gr-qc]]

    2016 arXiv

  38. [46]

    Beitrage zur Einsteinschen Gravitationstheorie,

    L. Flamm, “Beitrage zur Einsteinschen Gravitationstheorie,” Phys. Z. 17, 448 (1916)

    1916

  39. [47]

    Einstein and N

    A. Einstein and N. Rosen, ``The Particle Problem in the General Theory of Relativity,'' Phys. Rev. 48 (1935), 73-77

    1935

  40. [48]

    F. S. N. Lobo, ``From the Flamm-Einstein-Rosen bridge to the modern renaissance of traversable wormholes,'' Int. J. Mod. Phys. D 25 (2016) no.07, 1630017 [arXiv:1604.02082 [gr-qc]]

    2016 arXiv

  41. [49]

    J. A. Wheeler, ``Geons,''Phys. Rev. 97 (1955), 511-536

    1955

  42. [50]

    Geometrodynamics

    J. A. Wheeler, "Geometrodynamics", (Academic Press, New York, 1962)

    1962

  43. [51]

    R. P. Geroch, ``Topology in General Relativity,'' J. Math. Phys. 8 (1967), 782-786

    1967

  44. [52]

    F. J. Ernst,``Variational Calculations in Geon Theory,'' Phys. Rev. 105 (1957), 1662-1664

    1957

  45. [53]

    F. J. Ernst, ``Linear and Toroidal Geons,'' Phys. Rev. 105 (1957), 1665-1670

    1957

  46. [54]

    D. R. Brill and J. B. Hartle, ``Method of the Self-Consistent Field in General Relativity and its Application to the Gravitational Geon,'' Phys. Rev. 135 (1964), B271-B278

    1964

  47. [55]

    Komar, ``Bootstrap Gravitational Geons,'' Phys

    A. Komar, ``Bootstrap Gravitational Geons,'' Phys. Rev. 137 (1965), B462-B466

    1965

  48. [56]

    Singularities in bootstrap gravitational geons,

    C. H. Brans, “Singularities in bootstrap gravitational geons,” Phys. Rev. 140, B1174-B1176 (1965)

    1965

  49. [57]

    D. J. Kaup, ``Klein-Gordon Geon,'' Phys. Rev. 172 (1968), 1331-1342

    1968

  50. [58]

    Lunetta, I

    M. Lunetta, I. Wolk and A. F. D. F. Teixeira, ``Pure Massless Scalar Geon,'' Phys. Rev. D 21 (1980), 3281-3283

    1980

  51. [59]

    P. R. Anderson and D. R. Brill, ``Gravitational geons revisited,'' Phys. Rev. D 56 (1997), 4824-4833 [arXiv:gr-qc/9610074 [gr-qc]]

    1997 arXiv

  52. [60]

    Diemer and M

    T. Diemer and M. J. Hadley, ``Charge and the topology of space-time,'' Class. Quant. Grav. 16 (1999), 3567-3577 [arXiv:gr-qc/9905069 [gr-qc]]

    1999 arXiv

  53. [61]

    H. G. Ellis, ``Ether flow through a drainhole - a particle model in General Relativity,'' J. Math. Phys. 14 (1973), 104-118

    1973

  54. [62]

    H. G. Ellis, ``The evolving, flowless drain hole: a nongravitating particle model in General Relativity theory,'' Gen. Rel. Grav. 10 (1979), 105-123

    1979

  55. [63]

    K. A. Bronnikov,``Scalar-tensor theory and scalar charge,'' Acta Phys. Polon. B 4 (1973), 251-266

    1973

  56. [64]

    Kodama,``General Relativistic Nonlinear Field: A Kink Solution in a Generalized Geometry,'' Phys

    T. Kodama,``General Relativistic Nonlinear Field: A Kink Solution in a Generalized Geometry,'' Phys. Rev. D 18 (1978), 3529-3534

    1978

  57. [65]

    Clement,``Einstein - Yang-Mills - Higgs Solitons,'' Gen

    G. Clement,``Einstein - Yang-Mills - Higgs Solitons,'' Gen. Rel. Grav. 13 (1981), 763-770

    1981

  58. [66]

    Gravitation

    C. W. Misner, K. S. Thorne and J. A. Wheeler, "Gravitation", (W. H. Freeman and Co., San Francisco, 1973)

    1973

  59. [67]

    The Ellis geometry,

    G. Clement, “The Ellis geometry,” Am. J. Phys. 57, 967 (1989)

    1989

  60. [68]

    The Large Scale Structure of Spacetime

    S. W. Hawking and G.F.R. Ellis, "The Large Scale Structure of Spacetime", (Cambridge University Press, Cambridge 1973)

    1973

  61. [69]

    Klinkhammer, ``Averaged energy conditions for free scalar fields in flat space-times,'' Phys

    G. Klinkhammer, ``Averaged energy conditions for free scalar fields in flat space-times,'' Phys. Rev. D 43 (1991), 2542-2548

    1991

  62. [70]

    F. J. Tipler, ``Energy conditions and spacetime singularities,'' Phys. Rev. D 17 (1978), 2521-2528

    1978

  63. [71]

    T. A. Roman, ``Quantum Stress-Energy Tensors and the Weak Energy Condition,'' Phys. Rev. D 33 (1986), 3526-3533

    1986

  64. [72]

    L. H. Ford, ``Quantum Coherence Effects and the Second Law of Thermodynamics,'' Proc. Roy. Soc. Lond. A 364 (1978), 227-236

    1978

  65. [73]

    L. H. Ford, ``Constraints on negative energy fluxes,'' Phys. Rev. D 43 (1991), 3972-3978

    1991

  66. [74]

    L. H. Ford and T. A. Roman, ``Averaged energy conditions and quantum inequalities,'' Phys. Rev. D 51 (1995), 4277-4286 [arXiv:gr-qc/9410043 [gr-qc]]

    1995 arXiv

  67. [75]

    L. H. Ford and T. A. Roman, ``Quantum field theory constrains traversable wormhole geometries,'' Phys. Rev. D 53 (1996), 5496-5507 [arXiv:gr-qc/9510071 [gr-qc]]

    1996 arXiv

  68. [76]

    L. H. Ford and T. A. Roman, ``The Quantum interest conjecture,'' Phys. Rev. D 60 (1999), 104018 [arXiv:gr-qc/9901074 [gr-qc]]

    1999 arXiv

  69. [77]

    M. J. Pfenning and L. H. Ford, ``Quantum inequalities on the energy density in static Robertson-Walker space-times,'' Phys. Rev. D 55 (1997), 4813-4821 [arXiv:gr-qc/9608005 [gr-qc]]

    1997 arXiv

  70. [78]

    P. K. F. Kuhfittig, ``Static and dynamic traversable wormhole geometries satisfying the Ford-Roman constraints,'' Phys. Rev. D 66 (2002), 024015 [arXiv:gr-qc/0401023 [gr-qc]]

    2002 arXiv

  71. [79]

    Constraints on wormhole geometries,

    F. Lobo, P. Crawford: “Constraints on wormhole geometries,” The Ninth Marcel Grossmann Meeting, Proceedings, Rome, Italy, 2000, edited by Vahe G. Gurzadyan, Robert Jantzen and Remo Ruffini (World Scientific, Singapore, 2002), 855-856

    2000

  72. [80]

    T. A. Roman, ``Some thoughts on energy conditions and wormholes,'' [arXiv:gr-qc/0409090 [gr-qc]]

    arXiv

  73. [81]

    A. G. Riess et al. [Supernova Search Team], ``The farthest known supernova: support for an accelerating universe and a glimpse of the epoch of deceleration,'' Astrophys. J. 560 (2001), 49-71 [arXiv:astro-ph/0104455 [astro-ph]]

    2001 arXiv

  74. [82]

    Perlmutter, M

    S. Perlmutter, M. S. Turner and M. J. White, ``Constraining dark energy with SNe Ia and large scale structure,'' Phys. Rev. Lett. 83 (1999), 670-673 [arXiv:astro-ph/9901052 [astro-ph]]

    1999 arXiv

  75. [83]

    C. L. Bennett et al. [WMAP], ``First year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Preliminary maps and basic results,'' Astrophys. J. Suppl. 148 (2003), 1-27 [arXiv:astro-ph/0302207 [astro-ph]]

    2003 arXiv

  76. [84]

    Hinshaw et al

    G. Hinshaw et al. [WMAP],``First year Wilkinson Microwave Anisotropy Probe (WMAP) observations: The Angular power spectrum,''Astrophys. J. Suppl. 148 (2003), 135 [arXiv:astro-ph/0302217 [astro-ph]]

    2003 arXiv

  77. [85]

    Melchiorri, L

    A. Melchiorri, L. Mersini-Houghton, C. J. Odman and M. Trodden, ``The State of the dark energy equation of state,'' Phys. Rev. D 68 (2003), 043509 [arXiv:astro-ph/0211522 [astro-ph]]

    2003 arXiv

  78. [86]

    J. S. Alcaniz, ``Testing dark energy beyond the cosmological constant barrier,'' Phys. Rev. D 69 (2004), 083521 [arXiv:astro-ph/0312424 [astro-ph]]

    2004 arXiv

  79. [87]

    S. M. Carroll, M. Hoffman and M. Trodden, ``Can the dark energy equation-of-state parameter w be less than -1 ?'' Phys. Rev. D 68 (2003), 023509 [arXiv:astro-ph/0301273 [astro-ph]]

    2003 arXiv

  80. [88]

    F. S. N. Lobo,``Phantom energy traversable wormholes,'' Phys. Rev. D 71 (2005), 084011 [arXiv:gr-qc/0502099 [gr-qc]]

    2005 arXiv

  81. [89]

    F. S. N. Lobo, ``Stability of phantom wormholes,'' Phys. Rev. D 71 (2005), 124022 [arXiv:gr-qc/0506001 [gr-qc]]

    2005 arXiv

  82. [90]

    S. V. Sushkov, ``Wormholes supported by a phantom energy,'' Phys. Rev. D 71 (2005), 043520 [arXiv:gr-qc/0502084 [gr-qc]]

    2005 arXiv

  83. [91]

    O. B. Zaslavskii,``Exactly solvable model of wormhole supported by phantom energy,'' Phys. Rev. D 72 (2005), 061303 [arXiv:gr-qc/0508057 [gr-qc]]

    2005 arXiv

  84. [92]

    P. K. F. Kuhfittig, ``Seeking exactly solvable models of traversable wormholes supported by phantom energy,'' Class. Quant. Grav. 23 (2006), 5853-5860 [arXiv:gr-qc/0608055 [gr-qc]]

    2006 arXiv

  85. [93]

    F. S. N. Lobo, ``Chaplygin traversable wormholes,'' Phys. Rev. D 73 (2006), 064028 [arXiv:gr-qc/0511003 [gr-qc]]

    2006 arXiv

  86. [94]

    F. S. N. Lobo, ``Van der Waals quintessence stars,'' Phys. Rev. D 75 (2007), 024023 [arXiv:gr-qc/0610118 [gr-qc]]

    2007 arXiv

  87. [95]

    P. F. Gonzalez-Diaz, ``Wormholes and ringholes in a dark - energy universe,'' Phys. Rev. D 68 (2003), 084016 [arXiv:astro-ph/0308382 [astro-ph]]

    2003 arXiv

  88. [96]

    P. F. Gonzalez-Diaz, ``Achronal cosmic future,'' Phys. Rev. Lett. 93 (2004), 071301 [arXiv:astro-ph/0404045 [astro-ph]]

    2004 arXiv

  89. [97]

    P. F. Gonzalez-Diaz and J. A. Jimenez-Madrid, ``Phantom inflation and the 'big trip','' Phys. Lett. B 596 (2004), 16-25 [arXiv:hep-th/0406261 [hep-th]]

    2004 arXiv

  90. [98]

    P. F. Gonzalez-Diaz, ``K-essential phantom energy: Doomsday around the corner?,'' Phys. Lett. B 586 (2004), 1-4 [arXiv:astro-ph/0312579 [astro-ph]]

    2004 arXiv

  91. [99]

    P. F. Gonzalez-Diaz, ``You need not be afraid of phantom energy,'' Phys. Rev. D 68 (2003), 021303 [arXiv:astro-ph/0305559 [astro-ph]]

    2003 arXiv

  92. [100]

    Visser, ``Traversable wormholes: Some simple examples,'' Phys

    M. Visser, ``Traversable wormholes: Some simple examples,'' Phys. Rev. D 39 (1989), 3182-3184 doi:10.1103/PhysRevD.39.3182 [arXiv:0809.0907 [gr-qc]]

    1989 arXiv

  93. [101]

    P. K. F. Kuhfittig, ``A wormhole with a special shape function,''Am. J. Phys. 67 (1999), 125-126

    1999

  94. [102]

    P. K. F. Kuhfittig, ``Can a wormhole supported by only small amounts of exotic matter really be traversable?,'' Phys. Rev. D 68 (2003), 067502 [arXiv:gr-qc/0401048 [gr-qc]]

    2003 arXiv

  95. [103]

    Visser and D

    M. Visser and D. Hochberg, ``Generic wormhole throats,'' Annals Israel Phys. Soc. 13 (1997), 249 [arXiv:gr-qc/9710001 [gr-qc]]

    1997 arXiv

  96. [104]

    Hochberg and M

    D. Hochberg and M. Visser, ``The Null energy condition in dynamic wormholes,'' Phys. Rev. Lett. 81 (1998), 746-749 [arXiv:gr-qc/9802048 [gr-qc]]

    1998 arXiv

  97. [105]

    Hochberg and M

    D. Hochberg and M. Visser, ``Dynamic wormholes, anti-trapped surfaces, and energy conditions,'' Phys. Rev. D 58 (1998), 044021 [arXiv:gr-qc/9802046 [gr-qc]]

    1998 arXiv

  98. [106]

    Kar, ``Evolving wormholes and the weak energy condition,'' Phys

    S. Kar, ``Evolving wormholes and the weak energy condition,'' Phys. Rev. D 49 (1994), 862-865

    1994

  99. [107]

    Kar and D

    S. Kar and D. Sahdev, ``Evolving Lorentzian wormholes,'' Phys. Rev. D 53 (1996), 722-730 [arXiv:gr-qc/9506094 [gr-qc]]

    1996 arXiv

  100. [108]

    S. W. Kim, ``The Cosmological model with traversable wormhole,'' Phys. Rev. D 53 (1996), 6889-6892

    1996

  101. [109]

    Visser, S

    M. Visser, S. Kar and N. Dadhich, ``Traversable wormholes with arbitrarily small energy condition violations,'' Phys. Rev. Lett. 90 (2003), 201102 [arXiv:gr-qc/0301003 [gr-qc]]

    2003 arXiv

  102. [110]

    S. Kar, N. Dadhich and M. Visser, ``Quantifying energy condition violations in traversable wormholes,'' Pramana 63 (2004), 859-864 [arXiv:gr-qc/0405103 [gr-qc]]

    2004 arXiv

  103. [111]

    Barcelo and M

    C. Barcelo and M. Visser, ``Scalar fields, energy conditions, and traversable wormholes,'' Class. Quant. Grav. 17 (2000), 3843-3864 [arXiv:gr-qc/0003025 [gr-qc]]

    2000 arXiv

  104. [112]

    A. G. Riess et al. [Supernova Search Team], ``Type Ia supernova discoveries at z > 1 from the Hubble Space Telescope: Evidence for past deceleration and constraints on dark energy evolution,'' Astrophys. J. 607 (2004), 665-687 [arXiv:astro-ph/0402512 [astro-ph]]

    2004 arXiv

  105. [113]

    Visser, ``Jerk and the cosmological equation of state,'' Class

    M. Visser, ``Jerk and the cosmological equation of state,'' Class. Quant. Grav. 21 (2004), 2603-2616 [arXiv:gr-qc/0309109 [gr-qc]]

    2004 arXiv

  106. [114]

    R. R. Caldwell, M. Kamionkowski and N. N. Weinberg, ``Phantom energy and cosmic doomsday,'' Phys. Rev. Lett. 91 (2003), 071301 [arXiv:astro-ph/0302506 [astro-ph]]

    2003 arXiv

  107. [115]

    Barcelo and M

    C. Barcelo and M. Visser, ``Twilight for the energy conditions?,'' Int. J. Mod. Phys. D 11 (2002), 1553-1560 [arXiv:gr-qc/0205066 [gr-qc]]

    2002 arXiv

  108. [116]

    J. G. Cramer, R. L. Forward, M. S. Morris, M. Visser, G. Benford and G. A. Landis, ``Natural wormholes as gravitational lenses,'' Phys. Rev. D 51 (1995), 3117-3120 [arXiv:astro-ph/9409051 [astro-ph]]

    1995 arXiv

  109. [117]

    D. F. Torres, G. E. Romero and L. A. Anchordoqui, ``Wormholes, gamma-ray bursts and the amount of negative mass in the universe,'' Mod. Phys. Lett. A 13 (1998), 1575-1582 [arXiv:gr-qc/9805075 [gr-qc]]

    1998 arXiv

  110. [118]

    Safonova, D

    M. Safonova, D. F. Torres and G. E. Romero, ``Microlensing by natural wormholes: Theory and simulations,'' Phys. Rev. D 65 (2002), 023001 [arXiv:gr-qc/0105070 [gr-qc]]

    2002 arXiv

  111. [119]

    Safonova, D

    M. Safonova, D. F. Torres and G. E. Romero, ``Macrolensing signatures of large scale violations of the weak energy condition,'' Mod. Phys. Lett. A 16 (2001), 153-162 [arXiv:astro-ph/0104075 [astro-ph]]

    2001 arXiv

  112. [120]

    P. F. Gonzalez-Diaz, ``Ring holes and closed timelike curves,'' Phys. Rev. D 54 (1996), 6122-6131 [arXiv:gr-qc/9608059 [gr-qc]]

    1996 arXiv

  113. [121]

    DeBenedictis and A

    A. DeBenedictis and A. Das, ``On a general class of wormhole geometries,'' Class. Quant. Grav. 18 (2001), 1187-1204 [arXiv:gr-qc/0009072 [gr-qc]]

    2001 arXiv

  114. [122]

    S. A. Hayward, ``Black holes and traversible wormholes: A Synthesis,'' [arXiv:gr-qc/0203051 [gr-qc]]

    arXiv

  115. [123]

    A. G. Agnese and M. La Camera, ``Wormholes in the Brans-Dicke theory of gravitation,'' Phys. Rev. D 51 (1995), 2011-2013

    1995

  116. [124]

    K. K. Nandi, B. Bhattacharjee, S. M. K. Alam and J. Evans, ``Brans-Dicke wormholes in the Jordan and Einstein frames,'' Phys. Rev. D 57 (1998), 823-828 [arXiv:0906.0181 [gr-qc]]

    1998 arXiv

  117. [125]

    La Camera, ``Wormhole solutions in the Randall-Sundrum scenario,'' Phys

    M. La Camera, ``Wormhole solutions in the Randall-Sundrum scenario,'' Phys. Lett. B 573 (2003), 27-32 [arXiv:gr-qc/0306017 [gr-qc]]

    2003 arXiv

  118. [126]

    F. S. N. Lobo, ``Exotic solutions in General Relativity: Traversable wormholes and 'warp drive' spacetimes,'' [arXiv:0710.4474 [gr-qc]]

    arXiv

  119. [127]

    Garattini and F

    R. Garattini and F. S. N. Lobo, ``Self sustained phantom wormholes in semi-classical gravity,'' Class. Quant. Grav. 24 (2007), 2401-2413 [arXiv:gr-qc/0701020 [gr-qc]]

    2007 arXiv

  120. [128]

    F. S. N. Lobo, ``General class of wormhole geometries in conformal Weyl gravity,'' Class. Quant. Grav. 25 (2008), 175006 [arXiv:0801.4401 [gr-qc]]

    2008 arXiv

  121. [129]

    Garattini and F

    R. Garattini and F. S. N. Lobo, ``Self-sustained traversable wormholes in noncommutative geometry,'' Phys. Lett. B 671 (2009), 146-152 [arXiv:0811.0919 [gr-qc]]

    2009 arXiv

  122. [130]

    F. S. N. Lobo and M. A. Oliveira, ``General class of vacuum Brans-Dicke wormholes,'' Phys. Rev. D 81 (2010), 067501 [arXiv:1001.0995 [gr-qc]]

    2010 arXiv

  123. [131]

    Montelongo Garcia and F

    N. Montelongo Garcia and F. S. N. Lobo, ``Exact solutions of Brans-Dicke wormholes in the presence of matter,'' Mod. Phys. Lett. A 40 (2011), 3067-3076 [arXiv:1106.3216 [gr-qc]]

    2011 arXiv

  124. [132]

    Garattini and F

    R. Garattini and F. S. N. Lobo, ``Self-sustained wormholes in modified dispersion relations,'' Phys. Rev. D 85 (2012), 024043 [arXiv:1111.5729 [gr-qc]]

    2012 arXiv

  125. [133]

    Myrzakulov, L

    R. Myrzakulov, L. Sebastiani, S. Vagnozzi and S. Zerbini, ``Static spherically symmetric solutions in mimetic gravity: rotation curves and wormholes,'' Class. Quant. Grav. 33 (2016) no.12, 125005 [arXiv:1510.02284 [gr-qc]]

    2016 arXiv

  126. [134]

    F. S. N. Lobo (editor), Wormholes, Warp Drives and Energy Conditions, Fundam. Theor. Phys. 189, (Springer International Publishing, 2017)

    2017

  127. [135]

    Israel, ``Singular hypersurfaces and thin shells in General Relativity,'' Nuovo Cim

    W. Israel, ``Singular hypersurfaces and thin shells in General Relativity,'' Nuovo Cim. B 44S10 (1966), 1 [erratum: Nuovo Cim. B 48 (1967), 463]

    1966

  128. [136]

    K. Schwarzschild, ``Über das Gravitationsfeld einer Kugel aus inkompressibler Flüssigkeit nach der Einsteinschen Theorie,'' Sitzungsberichte der Königlich-Preussischen Akademie der Wissenschaften Berlin, 424–434, (1916)

    1916

  129. [137]

    J. L. Rosa and P. Pi c arra, ``Existence and stability of relativistic fluid spheres supported by thin-shells,'' Phys. Rev. D 102 (2020) no.6, 6

    2020

  130. [138]

    J. L. Rosa, ``Observational properties of relativistic fluid spheres with thin accretion disks,'' Phys. Rev. D 107 (2023) no.8, 084048 [arXiv:2302.11915 [gr-qc]]

    2023 arXiv

  131. [139]

    J. R. Oppenheimer, H. Snyder, ``On Continued Gravitational Contraction," Phys. Rev. 56, 455 (1939)

    1939

  132. [140]

    J. L. Rosa and S. Carloni, ``Junction conditions for general LRS spacetimes in the 1+1+2 covariant formalism,'' [arXiv:2303.12457 [gr-qc]]

    arXiv

  133. [141]

    J. M. M. Senovilla, ``Junction conditions for F(R)-gravity and their consequences,'' Phys. Rev. D 88, 064015 (2013) [arXiv:1303.1408 [gr-qc]]

    2013 arXiv

  134. [142]

    Vignolo, R

    S. Vignolo, R. Cianci and S. Carloni, ``On the junction conditions in f(R) -gravity with torsion,'' Class. Quant. Grav. 35 (2018) no.9, 095014 [arXiv:1801.08344 [gr-qc]]

    2018 arXiv

  135. [143]

    Reina, J

    B. Reina, J. M. M. Senovilla and R. Vera, ``Junction conditions in quadratic gravity: thin shells and double layers,'' Class. Quant. Grav. 33, no.10, 105008 (2016) [arXiv:1510.05515 [gr-qc]]

    2016 arXiv

  136. [144]

    Deruelle, M

    N. Deruelle, M. Sasaki and Y. Sendouda, ``Junction conditions in f(R) theories of gravity,'' Prog. Theor. Phys. 119 (2008), 237-251 [arXiv:0711.1150 [gr-qc]]

    2008 arXiv

  137. [145]

    G. J. Olmo and D. Rubiera-Garcia, ``Junction conditions in Palatini f(R) gravity,'' Class. Quant. Grav. 37 (2020) no.21, 215002 [arXiv:2007.04065 [gr-qc]]

    2020 arXiv

  138. [146]

    J. L. Rosa, ``Junction conditions and thin shells in perfect-fluid f(R,T) gravity,'' Phys. Rev. D 103, no.10, 104069 (2021) [arXiv:2103.11698 [gr-qc]]

    2021 arXiv

  139. [147]

    J. L. Rosa and D. Rubiera-Garcia, ``Junction conditions of Palatini f(R,T) gravity,'' Phys. Rev. D 106, no.6, 064007 (2022) [arXiv:2204.12944 [gr-qc]]

    2022 arXiv

  140. [148]

    K. G. Suffern, ``Singular hypersurfaces in the Brans-Dicke theory of gravity," J. Phys. A: Math. Gen. 15 1599 (1982)

    1982

Pith tools