Presents classical GR solutions for black holes enveloped by ultra-relativistic orbiting particle shells that extend the photon sphere to arbitrary depth while remaining optically indistinguishable from standard black holes.
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Modeling the fifth dimension with scalars and gravity
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abstract
A method for obtaining solutions to the classical equations for scalars plus gravity in five dimensions is applied to some recent suggestions for brane-world phenomenology. The method involves only first order differential equations. It is inspired by gauged supergravity but does not require supersymmetry. Our first application is a full non-linear treatment of a recently studied stabilization mechanism for inter-brane spacing. The spacing is uniquely determined after conventional fine-tuning to achieve zero four-dimensional cosmological constant. If the fine-tuning is imperfect, there are solutions in which the four-dimensional branes are de Sitter or anti-de Sitter spacetimes. Our second application is a construction of smooth domain wall solutions which in a well-defined limit approach any desired array of sharply localized positive-tension branes. As an offshoot of the analysis we suggest a construction of a supergravity c-function for non-supersymmetric four-dimensional renormalization group flows. The equations for fluctuations about an arbitrary scalar-gravity background are also studied. It is shown that all models in which the fifth dimension is effectively compactified contain a massless graviton. The graviton is the constant mode in the fifth dimension. The separated wave equation can be recast into the form of supersymmetric quantum mechanics. The graviton wave-function is then the supersymmetric ground state, and there are no tachyons.
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representative citing papers
Holographic analysis of Romans supergravity solutions with Abelian magnetic flux yields a family of confining 4D duals featuring a flux-driven first-order deconfinement transition and two parametrically light, nearly degenerate scalar bound states near the transition.
For m²L²=-2 in AdS black holes with integrable mixed boundary conditions, the cubic coefficient in the near-boundary expansion of the solution-dependent W(φ) is fixed by the boundary deformation to ensure a well-posed variational principle and finite renormalized action.
Thick braneworlds feature fragile quasinormal mode spectra due to a butterfly effect but maintain a resilient early ringdown, keeping the standard gravitational wave fingerprint usable.
The graviscalar quasinormal mode spectrum and late-time power-law tails of a Rastall thick brane are computed numerically, showing that the Rastall parameter λ controls mode lifetimes and tail exponents.
Perturbations on a thick de Sitter brane induce a real part in previously purely imaginary quasinormal modes, creating intermediate oscillatory signatures in time-domain signals while late-time behavior stays zero-mode dominated.
A 5D bottom-up holographic model with a theta-sourced scalar reproduces the lattice result that the deconfinement temperature drops quadratically with θ/N, and predicts θ-dependence of the transition rate.
In three Lifshitz-like black brane models, the null energy condition and third law of thermodynamics show no correlation in two cases but the former implies the latter in the third.
In a thick braneworld model with f(T) = T + α T², the parameter α induces brane splitting and alters the decay rates of quasinormal modes, with two numerical methods agreeing on the low-overtone spectrum.
Soft-wall warped geometries yield rapid, mildly supercooled phase transitions whose TeV-scale gravitational wave signals are accessible to space-based interferometers.
In ghost-free two-scalar f(R) thick branes, internal structure produces no narrow real-axis tensor resonances; quasinormal modes are broad with quality factors 0.9-1.9.
Perturbations induce KK mode mixing resolved by SVD of the Dirac mass matrix, with parity-odd operators preserving Z2 symmetry and parity-even operators breaking it to polarize wavefunctions toward the brane.
citing papers explorer
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On Black Holes Surrounded by Radiation: I. Classical Considerations
Presents classical GR solutions for black holes enveloped by ultra-relativistic orbiting particle shells that extend the photon sphere to arbitrary depth while remaining optically indistinguishable from standard black holes.
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Bound states and deconfinement from Romans supergravity with magnetic flux
Holographic analysis of Romans supergravity solutions with Abelian magnetic flux yields a family of confining 4D duals featuring a flux-driven first-order deconfinement transition and two parametrically light, nearly degenerate scalar bound states near the transition.
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Holographic renormalization and the variational problem for mixed boundary conditions via a solution-dependent superpotential-like function
For m²L²=-2 in AdS black holes with integrable mixed boundary conditions, the cubic coefficient in the near-boundary expansion of the solution-dependent W(φ) is fixed by the boundary deformation to ensure a well-posed variational principle and finite renormalized action.
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Spectral Butterfly Effect and Resilient Ringdown in Thick Braneworlds
Thick braneworlds feature fragile quasinormal mode spectra due to a butterfly effect but maintain a resilient early ringdown, keeping the standard gravitational wave fingerprint usable.
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Quasinormal modes of scalar perturbations in Rastall thick brane
The graviscalar quasinormal mode spectrum and late-time power-law tails of a Rastall thick brane are computed numerically, showing that the Rastall parameter λ controls mode lifetimes and tail exponents.
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Real Part Emergence in Purely Imaginary Quasinormal Modes in Perturbed de Sitter Braneworlds
Perturbations on a thick de Sitter brane induce a real part in previously purely imaginary quasinormal modes, creating intermediate oscillatory signatures in time-domain signals while late-time behavior stays zero-mode dominated.
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Confinement in Holographic Theories at Finite Theta
A 5D bottom-up holographic model with a theta-sourced scalar reproduces the lattice result that the deconfinement temperature drops quadratically with θ/N, and predicts θ-dependence of the transition rate.
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Lifshitz-like Magnetic Black Branes: Third Law of Thermodynamics and the Null Energy Condition
In three Lifshitz-like black brane models, the null energy condition and third law of thermodynamics show no correlation in two cases but the former implies the latter in the third.
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Quasinormal modes of the thick braneworld in $f(T)$ gravity
In a thick braneworld model with f(T) = T + α T², the parameter α induces brane splitting and alters the decay rates of quasinormal modes, with two numerical methods agreeing on the low-overtone spectrum.
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Uncool soft-wall transitions and gravitational waves
Soft-wall warped geometries yield rapid, mildly supercooled phase transitions whose TeV-scale gravitational wave signals are accessible to space-based interferometers.
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Two-scalar-field $f(R)$ Thick Branes, Gravitational Resonances and Quasinormal Modes
In ghost-free two-scalar f(R) thick branes, internal structure produces no narrow real-axis tensor resonances; quasinormal modes are broad with quality factors 0.9-1.9.
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Fermionic Kaluza-Klein mode mixing in braneworlds
Perturbations induce KK mode mixing resolved by SVD of the Dirac mass matrix, with parity-odd operators preserving Z2 symmetry and parity-even operators breaking it to polarize wavefunctions toward the brane.