arxiv: 1705.11098 · v3 · submitted 2017-05-31 · 🌀 gr-qc · astro-ph.CO· hep-th

Recognition: 2 theorem links

· Lean Theorem

Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

S. Nojiri , S.D. Odintsov , V.K. Oikonomou

Authors on Pith no claims yet

Pith reviewed 2026-05-15 17:25 UTC · model grok-4.3

classification 🌀 gr-qc astro-ph.COhep-th

keywords modified gravityF(R) gravityinflationbouncing cosmologydark energylate-time accelerationunified cosmology

0 comments

The pith

Modified gravity theories provide workable models for inflation, cosmic bounces, and late-time acceleration using only changes to the gravitational action.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper reviews the basic formalisms of F(R), F(G), and F(T) gravity along with several newer variants and shows how each can generate an early inflationary phase that fits current data. It also explains how the same frameworks produce nonsingular bouncing solutions that replace the big-bang singularity and later drive the observed accelerated expansion. The central goal is to collect these techniques into one practical collection so that a single modified-gravity function can potentially handle the whole history of the universe.

Core claim

By replacing the Einstein-Hilbert term with a general function of the Ricci scalar, the Gauss-Bonnet invariant, or the torsion scalar, the resulting field equations acquire extra degrees of freedom that can source inflation at early times, avoid singularities via bounces, and produce the observed dark-energy behavior at late times, all without introducing new fundamental fields.

What carries the argument

F(R) gravity and its generalizations, in which the Ricci scalar R in the action is replaced by an arbitrary differentiable function F(R), thereby modifying the gravitational dynamics while preserving diffeomorphism invariance.

If this is right

Inflationary predictions from these models can be made compatible with the latest Planck constraints on the spectral index and tensor-to-scalar ratio.
Bouncing solutions generated by the modified equations remove the initial singularity and connect smoothly to standard expansion.
A single modified-gravity function can link the inflationary era directly to the present acceleration without an intermediate dark-energy field.
Astrophysical objects such as neutron stars and black holes acquire modified interior solutions whose properties differ from general relativity.
The dark-energy phase can be described by the same higher-curvature terms that drive early inflation, yielding testable evolution of the Hubble parameter.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

If these models succeed, the need for separate inflaton and dark-energy scalar fields could be eliminated in favor of purely gravitational corrections.
The same action modifications might eventually be matched to effective descriptions that emerge from quantum gravity at different curvature scales.
Observational programs that tightly constrain the time evolution of the equation of state could rule out or confirm entire classes of these functions.

Load-bearing premise

The chosen functions in these modified actions can always be tuned so that the models stay stable and match every existing measurement once higher-order corrections are included.

What would settle it

A future measurement of the dark-energy equation-of-state parameter or of the tensor-to-scalar ratio that lies outside the range any single F(R) or F(T) function can reproduce.

read the original abstract

We systematically review some standard issues and also the latest developments of modified gravity in cosmology, emphasizing on inflation, bouncing cosmology and late-time acceleration era. Particularly, we present the formalism of standard modified gravity theory representatives, like $F(R)$, $F(\mathcal{G})$ and $F(T)$ gravity theories, but also several alternative theoretical proposals which appeared in the literature during the last decade. We emphasize on the formalism developed for these theories and we explain how these theories can be considered as viable descriptions for our Universe. Using these theories, we present how a viable inflationary era can be produced in the context of these theories, with the viability being justified if compatibility with the latest observational data is achieved. Also we demonstrate how bouncing cosmologies can actually be described by these theories. Moreover, we systematically discuss several qualitative features of the dark energy era by using the modified gravity formalism, and also we critically discuss how a unified description of inflation with dark energy era can be described by solely using the modified gravity framework. Finally, we also discuss some astrophysical solutions in the context of modified gravity, and several qualitative features of these solutions. The aim of this review is to gather the different modified gravity techniques and form a virtual modified gravity "toolbox", which will contain all the necessary information on inflation, dark energy and bouncing cosmologies in the context of the various forms of modified gravity.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

This review compiles existing modified gravity formalisms into a convenient reference but introduces no new results or stability verifications.

read the letter

This paper is a review that gathers the standard formalisms for F(R), F(G), F(T) and related modified gravity theories, then shows how they can generate inflationary eras, bouncing solutions, and late-time acceleration consistent with observations. It also covers unified descriptions of early and late universe phases plus some astrophysical solutions. The organization into sections that function like a toolbox is the main strength, making it straightforward to compare approaches and see how viability is typically justified through data matching. The explanations of the basic setups and qualitative features are direct and cover the main developments up to the time of writing. The limitation is that all claims about viable inflation or bounces rest on results already published elsewhere, with no new parameter checks or analysis of higher-order corrections that could introduce ghosts or instabilities in some models. That is standard for a review, but it leaves readers needing to consult the cited papers for those details. The citation pattern is broad and systematic rather than selective. This is the sort of reference that helps cosmologists who are building or comparing models avoid starting from scratch. It does not resolve open questions or add original calculations, so its value is mainly as an accessible summary. I would send it for peer review at a journal that publishes reviews, since the compilation is coherent and the scope is well-defined.

Referee Report

2 major / 2 minor

Summary. This review systematically presents the formalisms of modified gravity theories including F(R), F(G), F(T) and several alternative proposals from the last decade. It explains their application to producing viable inflationary eras (justified by compatibility with latest observational data), describing bouncing cosmologies, qualitative features of the dark energy era, unified inflation-dark energy descriptions using only modified gravity, and astrophysical solutions, with the overall aim of assembling these techniques into a virtual 'toolbox' for cosmology.

Significance. As a compilation of existing formalisms and cited results on observational viability, the paper serves as a convenient reference consolidating approaches to inflation, bounces, and late-time acceleration in modified gravity. Its significance lies in providing an organized overview that could aid navigation of the literature, though this is limited by reliance on prior works without new verification of stability issues.

major comments (2)

[Inflation discussion (abstract and F(R) formalism sections)] Abstract and sections on inflationary viability: the claim that viable inflationary eras are produced with compatibility to observational data rests on cited literature but omits discussion of whether these regimes remain stable once higher-order curvature invariants (e.g., R^3 or R□R terms) are restored, which can destabilize F(R) slow-roll branches.
[Bouncing cosmologies sections] Sections on bouncing cosmologies: the demonstration that bouncing solutions can be described by these theories does not include checks for ghost instabilities or consistency under quantum corrections, leaving the viability assertion dependent on unexamined assumptions from the cited works.

minor comments (2)

[Formalism sections] Notation for auxiliary functions in the F(G) and F(T) formalisms could be standardized across sections for improved readability.
A brief table summarizing the key viability criteria (slow-roll parameters, stability conditions) across theories would help readers quickly compare the reviewed models.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of our review and the constructive comments. We address each major point below and propose targeted revisions to improve clarity on the scope and limitations of the compiled results.

read point-by-point responses

Referee: [Inflation discussion (abstract and F(R) formalism sections)] Abstract and sections on inflationary viability: the claim that viable inflationary eras are produced with compatibility to observational data rests on cited literature but omits discussion of whether these regimes remain stable once higher-order curvature invariants (e.g., R^3 or R□R terms) are restored, which can destabilize F(R) slow-roll branches.

Authors: We agree that the review relies on cited literature for viability claims without an explicit stability analysis under restored higher-order terms. As the manuscript is a compilation of existing formalisms rather than new research, we will add a concise paragraph in the F(R) inflation section (and a corresponding note in the abstract discussion) highlighting that certain extensions can introduce instabilities and referencing key works that derive stability conditions for viable slow-roll branches. This addition will clarify the assumptions without altering the review's scope. revision: partial
Referee: [Bouncing cosmologies sections] Sections on bouncing cosmologies: the demonstration that bouncing solutions can be described by these theories does not include checks for ghost instabilities or consistency under quantum corrections, leaving the viability assertion dependent on unexamined assumptions from the cited works.

Authors: The bouncing cosmologies section reviews formalisms and solutions drawn directly from the literature. We acknowledge the absence of explicit checks for ghost instabilities and quantum corrections within the review itself. We will insert a short subsection or paragraph summarizing the relevant stability considerations from the cited papers, including conditions under which ghost modes are avoided and the status of quantum corrections, to make the limitations transparent to readers. revision: partial

Circularity Check

0 steps flagged

Review compiles external formalisms; no self-referential derivations or predictions

full rationale

This is a review paper that presents standard formalisms for F(R), F(G), F(T) and alternative modified gravity models drawn from the existing literature. It explains how these can produce inflationary eras, bouncing cosmologies and late-time acceleration by referencing compatibility with observational data in cited works. No new derivations, parameter fits or predictions are performed within the paper that reduce by construction to its own inputs. Viability statements are justified by external citations rather than internal self-citation chains or redefinitions. The paper functions as a toolbox of known techniques and remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

This is a review paper; the authors introduce no new free parameters, axioms, or invented entities of their own. All content is drawn from the cited literature.

pith-pipeline@v0.9.0 · 5560 in / 978 out tokens · 38406 ms · 2026-05-15T17:25:53.478850+00:00 · methodology

discussion (0)

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

IndisputableMonolith.Foundation.DAlembert.Inevitability bilinear_family_forced echoes

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echoes
ECHOES: this paper passage has the same mathematical shape or conceptual pattern as the Recognition theorem, but is not a direct formal dependency.

Using these theories, we present how a viable inflationary era can be produced in the context of these theories, with the viability being justified if compatibility with the latest observational data is achieved. Also we demonstrate how bouncing cosmologies can actually be described by these theories.
IndisputableMonolith.Foundation.HierarchyEmergence hierarchy_emergence_forces_phi unclear

?

unclear
Relation between the paper passage and the cited Recognition theorem.

We systematically review some standard issues and also the latest developments of modified gravity in cosmology, emphasizing on inflation, bouncing cosmology and late-time acceleration era. Particularly, we present the formalism of standard modified gravity theory representatives, like F(R), F(G) and F(T) gravity theories

What do these tags mean?

matches: The paper's claim is directly supported by a theorem in the formal canon.
supports: The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends: The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses: The paper appears to rely on the theorem as machinery.
contradicts: The paper's claim conflicts with a theorem or certificate in the canon.
unclear: Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

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Reference graph

Works this paper leans on

300 extracted references · 300 canonical work pages · cited by 18 Pith papers · 287 internal anchors

[1]

A. G. Riess et al. [Supernova Search Team], Astron. J. 116 (1998) 1009 [astro-ph/9805201]

work page internal anchor Pith review Pith/arXiv arXiv 1998
[2]

S. M. Carroll, V. Duvvuri, M. Trodden and M. S. Turner, Phy s. Rev. D 70 (2004) 043528 [astro-ph/0306438]

work page internal anchor Pith review Pith/arXiv arXiv 2004
[3]

P. J. E. Peebles and B. Ratra, Rev. Mod. Phys. 75 (2003) 559 [astro-ph/0207347]

work page internal anchor Pith review Pith/arXiv arXiv 2003
[4]

Dark Energy and Modified Gravity

R. Durrer and R. Maartens, Dark Energy: Observational & T heoretical Approaches, ed. P Ruiz-Lapuente (Cambridge UP, 2010), pp48 - 91 [arXiv:0811.4132 [astro-ph]]. 108

work page internal anchor Pith review Pith/arXiv arXiv 2010
[5]

R. R. Caldwell and M. Kamionkowski, Ann. Rev. Nucl. Part. Sci. 59 (2009) 397 [arXiv:0903.0866 [astro-ph.CO]]

work page internal anchor Pith review Pith/arXiv arXiv 2009
[6]

Caldwell and M

R. Caldwell and M. Kamionkowski, Nature 458 (2009) 587

work page 2009
[7]

M. Li, X. D. Li, S. Wang and Y. Wang, Commun. Theor. Phys. 56 (2011) 525 [arXiv:1103.5870 [astro-ph.CO]]

work page internal anchor Pith review Pith/arXiv arXiv 2011
[8]

Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests

K. Bamba, S. Capozziello, S. Nojiri and S. D. Odintsov, As trophys. Space Sci. 342 (2012) 155 [arXiv:1205.3421 [gr-qc]]

work page internal anchor Pith review Pith/arXiv arXiv 2012
[9]

F. S. N. Lobo, Dark Energy-Current Advances and Ideas [ar Xiv:0807.1640 [gr-qc]]

work page internal anchor Pith review Pith/arXiv arXiv
[10]

The Effective Field Theory of Dark Energy

G. Gubitosi, F. Piazza and F. Vernizzi, JCAP 1302 (2013) 032 [JCAP 1302 (2013) 032] [arXiv:1210.0201 [hep-th]]

work page internal anchor Pith review Pith/arXiv arXiv 2013
[11]

J. K. Bloomﬁeld, E. E. Flanagan, M. Park and S. Watson, JC AP 1308 (2013) 010 [arXiv:1211.7054 [astro-ph.CO]]

work page internal anchor Pith review Pith/arXiv arXiv 2013
[12]

Essential Building Blocks of Dark Energy

J. Gleyzes, D. Langlois, F. Piazza and F. Vernizzi, JCAP 1308 (2013) 025 [arXiv:1304.4840 [hep-th]]

work page internal anchor Pith review Pith/arXiv arXiv 2013
[13]

M. Li, X. D. Li, S. Wang and Y. Wang, Front. Phys. (Beijing ) 8 (2013) 828 [arXiv:1209.0922 [astro-ph.CO]]

work page internal anchor Pith review Pith/arXiv arXiv 2013
[14]

A primer on problems and prospects of dark energy

M. Sami, Curr. Sci. 97 (2009) 887 [arXiv:0904.3445 [hep-th]]

work page internal anchor Pith review Pith/arXiv arXiv 2009
[15]

A. B. Balakin, Symmetry 8 (2016) no.7, 56 [arXiv:1606.06331 [gr-qc]]

work page internal anchor Pith review Pith/arXiv arXiv 2016
[16]

N. N. Weinberg and M. Kamionkowski, Mon. Not. Roy. Astro n. Soc. 341 (2003) 251 [astro-ph/0210134]

work page internal anchor Pith review Pith/arXiv arXiv 2003
[17]

Accelerating Universe: Observational Status and Theoretical Implications

L. Perivolaropoulos, AIP Conf. Proc. 848 (2006) 698 [astro-ph/0601014]

work page internal anchor Pith review Pith/arXiv arXiv 2006
[18]

An introduction to the dark energy problem

A. Dobado and A. L. Maroto, Astrophys. Space Sci. 320 (2009) 167 [arXiv:0802.1873 [astro-ph]]

work page internal anchor Pith review Pith/arXiv arXiv 2009
[19]

P. K. S. Dunsby and O. Luongo, Int. J. Geom. Meth. Mod. Phy s. 13 (2016) no.03, 1630002 [arXiv:1511.06532 [gr-qc]]

work page internal anchor Pith review Pith/arXiv arXiv 2016
[20]

Quintessence, Cosmic Coincidence, and the Cosmological Constant

I. Zlatev, L. M. Wang and P. J. Steinhardt, Phys. Rev. Let t. 82 (1999) 896 [astro-ph/9807002]

work page internal anchor Pith review Pith/arXiv arXiv 1999
[21]

S. M. Carroll, Phys. Rev. Lett. 81 (1998) 3067 [astro-ph/9806099]

work page internal anchor Pith review Pith/arXiv arXiv 1998
[22]

L. M. Wang and P. J. Steinhardt, Astrophys. J. 508 (1998) 483 [astro-ph/9804015]

work page internal anchor Pith review Pith/arXiv arXiv 1998
[23]

Quintessence, the Gravitational Constant, and Gravity

T. Chiba, Phys. Rev. D 60 (1999) 083508 [gr-qc/9903094]

work page internal anchor Pith review Pith/arXiv arXiv 1999
[24]

Quintessence arising from exponential potentials

T. Barreiro, E. J. Copeland and N. J. Nunes, Phys. Rev. D 61 (2000) 127301 [astro-ph/9910214]

work page internal anchor Pith review Pith/arXiv arXiv 2000
[25]

Kinetically Driven Quintessence

T. Chiba, T. Okabe and M. Yamaguchi, Phys. Rev. D 62 (2000) 023511 [astro-ph/9912463]

work page internal anchor Pith review Pith/arXiv arXiv 2000
[26]

Constraints on Cosmological Parameters from Future Galaxy Cluster Surveys

Z. Haiman, J. J. Mohr and G. P. Holder, Astrophys. J. 553 (2000) 545 [astro-ph/0002336]

work page internal anchor Pith review Pith/arXiv arXiv 2000
[27]

Curvature Quintessence

S. Capozziello, Int. J. Mod. Phys. D 11 (2002) 483 [gr-qc/0201033]

work page internal anchor Pith review Pith/arXiv arXiv 2002
[28]

The Cosmological Constant Problem and Quintessence

V. Sahni, Class. Quant. Grav. 19 (2002) 3435 [astro-ph/0202076]

work page internal anchor Pith review Pith/arXiv arXiv 2002
[29]

Curvature quintessence matched with observational data

S. Capozziello, V. F. Cardone, S. Carloni and A. Troisi, Int. J. Mod. Phys. D 12 (2003) 1969 [astro-ph/0307018]

work page internal anchor Pith review Pith/arXiv arXiv 2003
[30]

J. G. Hao and X. Z. Li, Phys. Lett. B 606 (2005) 7 [astro-ph/0404154]

work page internal anchor Pith review Pith/arXiv arXiv 2005
[31]

B. A. Bassett, P. S. Corasaniti and M. Kunz, Astrophys. J . 617 (2004) L1 [astro-ph/0407364]

work page internal anchor Pith review Pith/arXiv arXiv 2004
[32]

Constraints on linear-negative potentials in quintessence and phantom models from recent supernova data

L. Perivolaropoulos, Phys. Rev. D 71 (2005) 063503 [astro-ph/0412308]

work page internal anchor Pith review Pith/arXiv arXiv 2005
[33]

Coupled Quintessence in a Power-Law Case and the Cosmic Coincidence Problem

X. Zhang, Mod. Phys. Lett. A 20 (2005) 2575 [astro-ph/0503072]

work page internal anchor Pith review Pith/arXiv arXiv 2005
[34]

Observational constraints on interacting quintessence models

G. Olivares, F. Atrio-Barandela and D. Pavon, Phys. Rev . D 71 (2005) 063523 [astro-ph/0503242]

work page internal anchor Pith review Pith/arXiv arXiv 2005
[35]

Z. K. Guo, N. Ohta and Y. Z. Zhang, Phys. Rev. D 72 (2005) 023504 [astro-ph/0505253]

work page internal anchor Pith review Pith/arXiv arXiv 2005
[36]

R. R. Caldwell and E. V. Linder, Phys. Rev. Lett. 95 (2005) 141301 [astro-ph/0505494]

work page internal anchor Pith review Pith/arXiv arXiv 2005
[37]

R. J. Scherrer and A. A. Sen, Phys. Rev. D 77 (2008) 083515 [arXiv:0712.3450 [astro-ph]]

work page internal anchor Pith review Pith/arXiv arXiv 2008
[38]

The Effective Theory of Quintessence: the w<-1 Side Unveiled

P. Creminelli, G. D’Amico, J. Norena and F. Vernizzi, JC AP 0902 (2009) 018 [arXiv:0811.0827 [astro-ph]]

work page internal anchor Pith review Pith/arXiv arXiv 2009
[39]

Quintessence without scalar fields

S. Capozziello, S. Carloni and A. Troisi, Recent Res. De v. Astron. Astrophys. 1 (2003) 625 [astro-ph/0303041]

work page internal anchor Pith review Pith/arXiv arXiv 2003
[40]

A. Y. Kamenshchik, U. Moschella and V. Pasquier, Phys. L ett. B 511 (2001) 265 [gr-qc/0103004]

work page internal anchor Pith review Pith/arXiv arXiv 2001
[41]

Cosmic acceleration without quintessence

N. Banerjee and D. Pavon, Phys. Rev. D 63 (2001) 043504 [gr-qc/0012048]

work page internal anchor Pith review Pith/arXiv arXiv 2001
[42]

A New Cosmological Model of Quintessence and Dark Matter

V. Sahni and L. M. Wang, Phys. Rev. D 62 (2000) 103517 [astro-ph/9910097]

work page internal anchor Pith review Pith/arXiv arXiv 2000
[43]

Extended Quintessence

F. Perrotta, C. Baccigalupi and S. Matarrese, Phys. Rev . D 61 (1999) 023507 [astro-ph/9906066]

work page internal anchor Pith review Pith/arXiv arXiv 1999
[44]

Inflation and quintessence with nonminimal coupling

V. Faraoni, Phys. Rev. D 62 (2000) 023504 [gr-qc/0002091]

work page internal anchor Pith review Pith/arXiv arXiv 2000
[45]

D. F. Torres, Phys. Rev. D 66 (2002) 043522 [astro-ph/0204504]

work page internal anchor Pith review Pith/arXiv arXiv 2002
[46]

Coupled and Extended Quintessence: theoretical differences and structure formation

V. Pettorino and C. Baccigalupi, Phys. Rev. D 77 (2008) 103003 [arXiv:0802.1086 [astro-ph]]

work page internal anchor Pith review Pith/arXiv arXiv 2008
[47]

Nonminimal coupling and quintessence

O. Bertolami and P. J. Martins, Phys. Rev. D 61 (2000) 064007 [gr-qc/9910056]

work page internal anchor Pith review Pith/arXiv arXiv 2000
[48]

P. A. R. Ade et al. [Planck Collaboration], Astron. Astrophys. 594 (2016) A20 [arXiv:1502.02114 [astro-ph.CO]]

work page internal anchor Pith review Pith/arXiv arXiv 2016
[49]

P. A. R. Ade et al. [BICEP2 and Keck Array Collaborations], Phys. Rev. Lett. 116 (2016) 031302 [arXiv:1510.09217 [astro-ph.CO]]

work page internal anchor Pith review Pith/arXiv arXiv 2016
[50]

A. D. Linde, Lect. Notes Phys. 738 (2008) 1 [arXiv:0705.0164 [hep-th]]

work page internal anchor Pith review Pith/arXiv arXiv 2008
[51]

Introduction to the th eory of the early universe: Cosmological perturbations and inﬂationary theory,

D. S. Gorbunov and V. A. Rubakov, “Introduction to the th eory of the early universe: Cosmological perturbations and inﬂationary theory,” Hackensack, USA: World Scientiﬁc (20 11) 489 p

work page
[52]

D. H. Lyth and A. Riotto, Phys. Rept. 314 (1999) 1 [hep-ph/9807278]

work page internal anchor Pith review Pith/arXiv arXiv 1999
[53]

A. D. Linde, Phys. Lett. 129B (1983) 177

work page 1983
[54]

A. D. Linde, Phys. Lett. 162B (1985) 281

work page 1985
[55]

Albrecht and P

A. Albrecht and P. J. Steinhardt, Phys. Rev. Lett. 48 (1982) 1220

work page 1982
[56]

A. D. Linde, Phys. Rev. D 49 (1994) 748 [astro-ph/9307002]

work page internal anchor Pith review Pith/arXiv arXiv 1994
[57]

A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation

M. Sasaki and E. D. Stewart, Prog. Theor. Phys. 95 (1996) 71 [astro-ph/9507001]

work page internal anchor Pith review Pith/arXiv arXiv 1996
[58]

Turok, Class

N. Turok, Class. Quant. Grav. 19 (2002) 3449

work page 2002
[59]

A. D. Linde, Prog. Theor. Phys. Suppl. 163 (2006) 295 [hep-th/0503195]

work page internal anchor Pith review Pith/arXiv arXiv 2006
[60]

Towards Inflation in String Theory

S. Kachru, R. Kallosh, A. D. Linde, J. M. Maldacena, L. P. McAllister and S. P. Trivedi, JCAP 0310 (2003) 013 [hep-th/0308055]

work page internal anchor Pith review Pith/arXiv arXiv 2003
[61]

Initial Conditions for Inflation - A Short Review

R. Brandenberger, arXiv:1601.01918 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv
[62]

Inflationary cosmology in modified gravity theories

K. Bamba and S. D. Odintsov, Symmetry 7 (2015) no.1, 220 [arXiv:1503.00442 [hep-th]]

work page internal anchor Pith review Pith/arXiv arXiv 2015
[63]

Martin, C

J. Martin, C. Ringeval and V. Vennin, Phys. Dark Univ. 5-6 (2014) 75 [arXiv:1303.3787 [astro-ph.CO]]

work page arXiv 2014
[64]

The Best Inflationary Models After Planck

J. Martin, C. Ringeval, R. Trotta and V. Vennin, JCAP 1403 (2014) 039 [arXiv:1312.3529 [astro-ph.CO]]

work page internal anchor Pith review Pith/arXiv arXiv 2014
[65]

Inflation and String Theory

D. Baumann and L. McAllister, arXiv:1404.2601 [hep-th ]. 109

work page internal anchor Pith review Pith/arXiv arXiv
[66]

TASI Lectures on Inflation

D. Baumann, arXiv:0907.5424 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv
[67]

Inflationary Cosmology after Planck 2013

A. Linde, arXiv:1402.0526 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv
[68]

A review of Axion Inflation in the era of Planck

E. Pajer and M. Peloso, Class. Quant. Grav. 30 (2013) 214002 [arXiv:1305.3557 [hep-th]]

work page internal anchor Pith review Pith/arXiv arXiv 2013
[69]

Supergravity based inflation models: a review

M. Yamaguchi, Class. Quant. Grav. 28 (2011) 103001 [arXiv:1101.2488 [astro-ph.CO]]

work page internal anchor Pith review Pith/arXiv arXiv 2011
[70]

C. T. Byrnes and K. Y. Choi, Adv. Astron. 2010 (2010) 724525 [arXiv:1002.3110 [astro-ph.CO]]

work page internal anchor Pith review Pith/arXiv arXiv 2010
[71]

A. H. Guth, Phys. Rev. D 23 (1981) 347

work page 1981
[72]

Accelerating cosmology in modified gravity: from convenient $F(R)$ or string-inspired theory to bimetric $F(R)$ gravity

S. Nojiri and S. D. Odintsov, Int. J. Geom. Meth. Mod. Phy s. 11 (2014) 1460006 [arXiv:1306.4426 [gr-qc]]

work page internal anchor Pith review Pith/arXiv arXiv 2014
[73]

Introduction to Modified Gravity and Gravitational Alternative for Dark Energy

S. Nojiri and S. D. Odintsov, eConf C 0602061 (2006) 06 [Int. J. Geom. Meth. Mod. Phys. 4 (2007) 115] [hep-th/0601213]

work page internal anchor Pith review Pith/arXiv arXiv 2006
[74]

Extended Theories of Gravity

S. Capozziello and M. De Laurentis, Phys. Rept. 509 (2011) 167 [arXiv:1108.6266 [gr-qc]]

work page internal anchor Pith review Pith/arXiv arXiv 2011
[75]

Faraoni and S

V. Faraoni and S. Capozziello, Fundam. Theor. Phys. 170 (2010)

work page 2010
[76]

A bird's eye view of f(R)-gravity

S. Capozziello, M. De Laurentis and V. Faraoni, Open Ast ron. J. 3 (2010) 49 [arXiv:0909.4672 [gr-qc]]

work page internal anchor Pith review Pith/arXiv arXiv 2010
[77]

Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models

S. Nojiri and S. D. Odintsov, Phys. Rept. 505 (2011) 59 [arXiv:1011.0544 [gr-qc]]

work page internal anchor Pith review Pith/arXiv arXiv 2011
[78]

Modified Gravity and Cosmology

T. Clifton, P. G. Ferreira, A. Padilla and C. Skordis, Ph ys. Rept. 513 (2012) 1 [arXiv:1106.2476 [astro-ph.CO]]

work page internal anchor Pith review Pith/arXiv arXiv 2012
[79]

The Universality of Einstein Equations

M. Ferraris, M. Francaviglia and I. Volovich, Class. Qu ant. Grav. 11 (1994) 1505 [gr-qc/9303007]

work page internal anchor Pith review Pith/arXiv arXiv 1994
[80]

X. H. Meng and P. Wang, Phys. Lett. B 584 (2004) 1 [hep-th/0309062]

work page internal anchor Pith review Pith/arXiv arXiv 2004

Showing first 80 references.