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Modified gravity theories on a nutshell: Inflation, bounce and late-time evolution
Open accessAbstract
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.
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Sokołowski, L. M. (2007) · Classical and Quantum Gravity · doi:10.1088/0264-9381/24/13/015 · Cited by 53
Quasimatter domination parameters in bouncing cosmologies
Elizalde, E., de Haro, J., & Odintsov, S. D. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.91.063522 · Cited by 52
Self-citationGauss-Bonnet dark energy by Lagrange multipliers
Capozzıello, S., Makarenko, A. N., & Odintsov, S. D. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.87.084037 · Cited by 52
Self-citationMassive relic gravitational waves from f(R) theories of gravity: production and potential detection
Corda, C. (2009) · The European Physical Journal C · doi:10.1140/epjc/s10052-009-1100-5 · Cited by 52
Oscillations in the dark energy equation of state: New MCMC lessons
Lazkoz, R., Salzano, V., & Sendra, I. (2010) · Physics Letters B · doi:10.1016/j.physletb.2010.10.002 · Cited by 50
Spherically symmetric static vacuum solutions in Mimetic gravity
Myrzakulov, R., & Sebastiani, L. (2015) · General Relativity and Gravitation · doi:10.1007/s10714-015-1930-4 · Cited by 49
Loop quantum cosmology gravitational baryogenesis
Odintsov, S. D., & Oikonomou, V. K. (2016) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/116/49001 · Cited by 49
Self-citationCrystal clear lessons on the microstructure of spacetime and modified gravity
Lobo, F. S. N., Olmo, G. J., & Rubiera-García, D. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.91.124001 · Cited by 48
ΛCDM bounce cosmology without ΛCDM : The case of modified gravity
Odintsov, S. D., & Oikonomou, V. K. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.91.064036 · Cited by 48
Self-citationSuperbounce and loop quantum cosmology ekpyrosis from modified gravity
Oikonomou, V. K. (2015) · Astrophysics and Space Science · doi:10.1007/s10509-015-2478-1 · Cited by 48
Self-citationFuture oscillations around phantom divide inf(R) gravity
Motohashi, H., Starobinsky, A. A., & Yokoyama, J. (2011) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2011/06/006 · Cited by 48
Johnson, M. C., & Lehners, J.-L. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.85.103509 · Cited by 48
A note on a mimetic scalar–tensor cosmological model
Rabochaya, Y., & Zerbini, S. (2016) · The European Physical Journal C · doi:10.1140/epjc/s10052-016-3926-y · Cited by 47
On reaching the adiabatic limit in multi-field inflation
Renaux‐Petel, S., & Turzyński, K. (2015) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2015/06/010 · Cited by 46
Crossing the phantom barrier with purely kinetic multiple k-essence
Chimento, L. P., & Lazkoz, R. (2006) · Physics Letters B · doi:10.1016/j.physletb.2006.07.017 · Cited by 46
Constraints on singular evolution from gravitational baryogenesis
Oikonomou, V. K. (2015) · International Journal of Geometric Methods in Modern Physics · doi:10.1142/s021988781650033x · Cited by 46
Self-citationHerrera, R., Olivares, M., & Videla, N. (2014) · International Journal of Modern Physics D · doi:10.1142/s0218271814500801 · Cited by 45
Bouncing loop quantum cosmology in Gauss-Bonnet gravity
de Haro, J., Makarenko, A. N., Myagky, A. N., Odintsov, S. D., & Oikonomou, V. K. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.92.124026 · Cited by 44
Self-citationGravitational baryogenesis in Gauss-Bonnet braneworld cosmology
Bento, M. C., Felipe, R. G., & Santos, N. M. C. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.71.123517 · Cited by 44
Perturbations in matter bounce with non-minimal coupling
Qiu, T., & Yang, K.-C. (2010) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2010/11/012 · Cited by 44
Unimodular mimetic F ( R ) $F(R)$ inflation
Odintsov, S. D., & Oikonomou, V. K. (2016) · Astrophysics and Space Science · doi:10.1007/s10509-016-2826-9 · Cited by 44
Self-citationF ( R ) nonlinear massive theories of gravity and their cosmological implications
Cai, Y.-F., Duplessis, F., & Saridakis, E. N. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.90.064051 · Cited by 43
Running of the scalar spectral index in bouncing cosmologies
Lehners, J.-L., & Wilson-Ewing, E. (2015) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2015/10/038 · Cited by 42
Standard cosmological evolution in a wide range of f(R) models
Evans, J. D., Hall, L. M. H., & Caillol, P. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.77.083514 · Cited by 42
Preventing eternality in phantom inflation
Feng, C.-J., Li, X.-Z., & Saridakis, E. N. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.82.023526 · Cited by 42
Thermodynamic properties of modified gravity theories
Bamba, K. (2016) · International Journal of Geometric Methods in Modern Physics · doi:10.1142/s0219887816300075 · Cited by 42
On the no-boundary proposal for ekpyrotic and cyclic cosmologies
Battarra, L., & Lehners, J.-L. (2014) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2014/12/023 · Cited by 41
Reissner–Nordström Anti-de Sitter Black Holes in Mimetic F(R) Gravity
Oikonomou, V. K. (2016) · Universe · doi:10.3390/universe2020010 · Cited by 41
Self-citationPreinflationary primordial perturbations
Cai, Y., Wang, Y.-T., & Yun-song Piao, A. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.92.023518 · Cited by 39
Cosmological implications of unimodular gravity
Jain, P., Jaiswal, A., Karmakar, P., et al. (2012) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2012/11/003 · Cited by 39
Canonical analysis of unimodular gravity
Klusoň, J. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.91.064058 · Cited by 39
Deformed matter bounce with dark energy epoch
Odintsov, S. D., & Oikonomou, V. K. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.94.064022 · Cited by 39
Self-citationStandard Model extension with gravity and gravitational baryogenesis
Lambiase, G. (2006) · Physics Letters B · doi:10.1016/j.physletb.2006.09.037 · Cited by 38
Cosmological Evolution of a Ghost Scalar Field
Sushkov, S. V., & Kim, S.-W. (2004) · General Relativity and Gravitation · doi:10.1023/b:gerg.0000032159.46106.63 · Cited by 38
Cosmological future singularities in interacting dark energy models
Jiménez, J. B., Rubiera-García, D., Gómez, D. S.-C., & Salzano, V. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.94.123520 · Cited by 37
The growth factor of matter perturbations in f(R) gravity
Fu, X., Wu, P., & Yu, H. (2010) · The European Physical Journal C · doi:10.1140/epjc/s10052-010-1324-4 · Cited by 36
Gauss–Bonnet modified gravity models with bouncing behavior
Escofet, A., & Elizalde, E. (2016) · Modern Physics Letters A · doi:10.1142/s021773231650108x · Cited by 36
Odintsov, S. D., & Oikonomou, V. K. (2016) · Classical and Quantum Gravity · doi:10.1088/0264-9381/33/12/125029 · Cited by 36
Self-citationA note on Schwarzschild–de Sitter black holes in mimetic F(R) gravity
Oikonomou, V. K. (2016) · International Journal of Modern Physics D · doi:10.1142/s0218271816500784 · Cited by 36
Self-citationGravitational particle production in bouncing cosmologies
de Haro, J., & Elizalde, E. (2015) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2015/10/028 · Cited by 35
Constraining extended theories of gravity using Solar System tests
Allemandi, G., & Ruggiero, M. L. (2007) · General Relativity and Gravitation · doi:10.1007/s10714-007-0441-3 · Cited by 35
Trispectrum from ghost inflation
Izumi, K., & Shinji Mukohyama, A. (2010) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2010/06/016 · Cited by 34
A cosmological solution to mimetic dark matter
Saadi, H. (2016) · The European Physical Journal C · doi:10.1140/epjc/s10052-015-3856-0 · Cited by 33
Dynamical generation of wormholes with charged fluids in quadratic Palatini gravity
Lobo, F. S. N., Martínez-Asencio, J., Olmo, G. J., & Rubiera-García, D. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.90.024033 · Cited by 33
Dark energy oscillations in mimetic F(R) gravity
Odintsov, S. D., & Oikonomou, V. K. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.94.044012 · Cited by 33
Self-citationThermodynamics in f(R,RαβRαβ,ϕ) theory of gravity
Zubair, M., Kousar, F., & Bahamonde, S. (2016) · Physics of the Dark Universe · doi:10.1016/j.dark.2016.10.001 · Cited by 33
Inflation in an exponential scalar model and finite-time singularity induced instability
Odintsov, S. D., & Oikonomou, V. K. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.92.024058 · Cited by 33
Self-citationJain, P., Karmakar, P., Mitra, S., et al. (2012) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2012/05/020 · Cited by 32
Phantom inflation in little rip
Liu, Z., & Yun-song Piao, A. (2012) · Physics Letters B · doi:10.1016/j.physletb.2012.05.027 · Cited by 32
Klusoň, J., Nojiri, S., & Odintsov, S. D. (2013) · Physics Letters B · doi:10.1016/j.physletb.2013.10.003 · Cited by 31
Self-citationBouncing Palatini cosmologies and their perturbations
Koivisto, T. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.82.044022 · Cited by 31
Cosmological perturbations of unimodular gravity and general relativity are identical
Basak, A., Fabre, O., & Shankaranarayanan, S. (2016) · General Relativity and Gravitation · doi:10.1007/s10714-016-2116-4 · Cited by 31
Stefano Bellucci, A., Capozzıello, S., Laurentis, M. D., & Faraoni, V. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.79.104004 · Cited by 30
Parameterizing scalar-tensor theories for cosmological probes
Appleby, S. A., & Weller, J. (2010) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2010/12/006 · Cited by 29
Intermediate inflation in Gauss–Bonnet brane world
Herrera, R., & Videla, N. (2010) · The European Physical Journal C · doi:10.1140/epjc/s10052-010-1264-z · Cited by 29
Viability of the intermediate inflation scenario with F(T) gravity
Oikonomou, V. K. (2017) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.95.084023 · Cited by 29
Self-citationSingular deformations of nearly R 2 inflation potentials
Odintsov, S. D., & Oikonomou, V. K. (2015) · Classical and Quantum Gravity · doi:10.1088/0264-9381/32/23/235011 · Cited by 28
Self-citationUnimodular theory of gravity and inflation
Cho, I., & Singh, N. K. (2015) · Classical and Quantum Gravity · doi:10.1088/0264-9381/32/13/135020 · Cited by 28
Constraining Newtonian stellar configurations in f(R) theories of gravity
Multamäki, T., & Vilja, I. (2008) · Physics Letters B · doi:10.1016/j.physletb.2007.12.022 · Cited by 28
Emerging singularities in the bouncing loop cosmology
Mielczarek, J., & Szydłowski, M. (2008) · Physical Review D · doi:10.1103/physrevd.77.124008 · Cited by 26
Non-local F ( R ) $F(R)$ -mimetic gravity
Myrzakulov, R., & Sebastiani, L. (2016) · Astrophysics and Space Science · doi:10.1007/s10509-016-2779-z · Cited by 26
Testing metric-affine f(R)-gravity by relic scalar gravitational waves
Capozziello, S., Cianci, R., Laurentis, M. D., & Vignolo, S. (2010) · The European Physical Journal C · doi:10.1140/epjc/s10052-010-1412-5 · Cited by 25
Observational hints on the Big Bounce
Mielczarek, J., Kamionka, M., Kurek, A., et al. (2010) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2010/07/004 · Cited by 25
Constraints on oscillating dark energy models
Kurek, A., Hrycyna, O., & Marek Szydlowski, A. (2007) · Physics Letters B · doi:10.1016/j.physletb.2007.10.074 · Cited by 24
Can the Big Bang singularity be avoided by a single scalar field?
Qiu, T. (2010) · Classical and Quantum Gravity · doi:10.1088/0264-9381/27/21/215013 · Cited by 24
Oikonomou, V. K., Karagiannakis, N., & Park, M. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.91.064029 · Cited by 24
Self-citationInflation and late-time acceleration from a double-well potential with cosmological constant
de Haro, J., & Elizalde, E. (2016) · General Relativity and Gravitation · doi:10.1007/s10714-016-2072-z · Cited by 24
Domènech, G., & Sasaki, M. (2016) · International Journal of Modern Physics D · doi:10.1142/s0218271816450061 · Cited by 24
Gravitational baryogenesis in anisotropic universe
Saaidi, K., & Hossienkhani, H. (2011) · Astrophysics and Space Science · doi:10.1007/s10509-010-0580-y · Cited by 23
BOUNCING UNIVERSE AND PHANTOM CROSSING IN MODIFIED GRAVITY AND ITS RECONSTRUCTION
Farajollahi, H., & Milani, F. (2010) · Modern Physics Letters A · doi:10.1142/s0217732310033281 · Cited by 23
Iorio, L. (2011) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2011/05/019 · Cited by 23
A conventional approach to the dark-energy concept
Kleidis, K., & Spyrou, N. (2011) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201016057 · Cited by 22
Necessary conditions for having wormholes in f(R) gravity
Mazharimousavi, S. H., & Halilsoy, M. (2016) · Modern Physics Letters A · doi:10.1142/s0217732316502035 · Cited by 22
Loop quantum cosmology matter bounce reconstruction from F(R) gravity using an auxiliary field
Oikonomou, V. K. (2015) · General Relativity and Gravitation · doi:10.1007/s10714-015-1970-9 · Cited by 21
Self-citationClifton's spherical solution in f ( R ) vacuum harbours a naked singularity
Faraoni, V. (2009) · Classical and Quantum Gravity · doi:10.1088/0264-9381/26/19/195013 · Cited by 21
Testing oscillating primordial spectrum and oscillating dark energy with astronomical observations
Liu, J., Li, H., Xia, J., & Zhang, X. (2009) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2009/07/017 · Cited by 21
Aspects of late-time evolution in mimetic F(R) gravity
Oikonomou, V. K. (2016) · Modern Physics Letters A · doi:10.1142/s0217732316501911 · Cited by 21
Self-citationThe impact of particle production on gravitational baryogenesis
Lima, J. A. S., & Singleton, D. (2016) · Physics Letters B · doi:10.1016/j.physletb.2016.10.005 · Cited by 21
A FLAT SPACETIME MODEL OF THE UNIVERSE
JAIN, P. (2012) · Modern Physics Letters A · doi:10.1142/s021773231250201x · Cited by 20
Shortcomings of the big bounce derivation in loop quantum cosmology
Cianfrani, F., & Montani, G. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.82.021501 · Cited by 20
Density-metric unimodular gravity: vacuum spherical symmetry
Abbassi, A. H., & Abbassi, A. M. (2008) · Classical and Quantum Gravity · doi:10.1088/0264-9381/25/17/175018 · Cited by 19
THERMODYNAMICS OF EVOLVING LORENTZIAN WORMHOLES AT APPARENT HORIZON IN f(R) THEORY OF GRAVITY
Saiedi, H. (2012) · Modern Physics Letters A · doi:10.1142/s0217732312502203 · Cited by 19
Numerical analysis of the big bounce in loop quantum cosmology
Laguna, P. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.75.024033 · Cited by 18
How can holonomy corrections be introduced in f(R) gravity?
de Haro, J. (2014) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/107/29001 · Cited by 17
Electrodynamics of a Cosmic Dark Fluid
Balakin, A. B. (2016) · Symmetry · doi:10.3390/sym8070056 · Cited by 16
UNIMODULAR CONSTRAINT ON GLOBAL SCALE INVARIANCE
SINGH, N. K. (2013) · Modern Physics Letters A · doi:10.1142/s0217732313501307 · Cited by 15
Vacaru, S. I. (2015) · The European Physical Journal C · doi:10.1140/epjc/s10052-015-3407-8 · Cited by 15
Singular accelerated evolution in massive F(R) bigravity
Nojiri, S., Odintsov, S. D., & Oikonomou, V. K. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.92.124059 · Cited by 14
Self-citationThermal fluctuations of dark matter in bouncing cosmology
Li, C. (2016) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2016/09/038 · Cited by 12
Necessity of revisions for the cosmological matter perturbations from general relativity
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Fate of the phantom dark energy universe in semiclassical gravity
de Haro, J., Amorós, J., & Elizalde, E. (2011) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.83.123528 · Cited by 10
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Metadata
- Authors
- Nojiri, S., Odintsov, S. D., & Oikonomou, V. K.
- Venue
- Physics Reports
- Publisher
- Elsevier BV
- Published
- 2017-06
- Volume
- 692
- Pages
- 1-104
- ISSN
- 0370-1573 (ISSN-L)
- OpenAlex
- W2621229679
- Cited by
- 2,734
- References
- 603
- FWCI
- 115.81
- Type
- journal article
- Language
- en
- Open access
- green
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