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Class of viable modifiedf(R)gravities describing inflation and the onset of accelerated expansion
Open accessAbstract
A general approach to viable modified $f(R)$ gravity is developed in both the Jordan and the Einstein frames. A class of exponential, realistic modified gravities is introduced and investigated with care. Special focus is made on step-class models, most promising from the phenomenological viewpoint and which provide a natural way to classify all viable modified gravities. One- and two-step models are explicitly considered, but the analysis is extensible to $N$-step models. Both inflation in the early universe and the onset of recent accelerated expansion arise in these models in a natural, unified way. Moreover, it is demonstrated that models in this category easily pass all local tests, including stability of spherical body solution, nonviolation of Newton's law, and generation of a very heavy positive mass for the additional scalar degree of freedom.
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INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY
NOJIRI, S., & ODINTSOV, S. D. (2007) · International Journal of Geometric Methods in Modern Physics · doi:10.1142/s0219887807001928 · Cited by 2,828
Self-citationIs cosmic speed-up due to new gravitational physics?
Carroll, S. M., Duvvuri, V., Trodden, M., & Turner, M. S. (2004) · Physical Review D · doi:10.1103/physrevd.70.043528 · Cited by 2,269
Nojiri, S., & Odintsov, S. D. (2003) · Physical Review D · doi:10.1103/physrevd.68.123512 · Cited by 2,183
Self-citationModels off(R)cosmic acceleration that evade solar system tests
Hu, W., & Sawicki, I. (2007) · Physical Review D · doi:10.1103/physrevd.76.064004 · Cited by 1,736
Disappearing cosmological constant in f(R) gravity
Starobinsky, A. A. (2007) · JETP Letters · doi:10.1134/s0021364007150027 · Cited by 1,329
Extra force inf(R)modified theories of gravity
Bertolami, O., Böhmer, C. G., Harko, T., & Lobo, F. S. N. (2007) · Physical Review D · doi:10.1103/physrevd.75.104016 · Cited by 1,008
Nojiri, S., & Odintsov, S. D. (2006) · Physical Review D · doi:10.1103/physrevd.74.086005 · Cited by 940
Self-citationDark energy in modified Gauss-Bonnet gravity: Late-time acceleration and the hierarchy problem
Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S. D., & Zerbini, S. (2006) · Physical Review D · doi:10.1103/physrevd.73.084007 · Cited by 790
Self-citationCan modified gravity explain accelerated cosmic expansion?
Dolgov, A. D., & Kawasaki, M. (2003) · Physics Letters B · doi:10.1016/j.physletb.2003.08.039 · Cited by 752
Capozziello, S., Nojiri, S., Odintsov, S. D., & Troisi, A. (2006) · Physics Letters B · doi:10.1016/j.physletb.2006.06.034 · Cited by 745
Self-citationConditions for the cosmological viability off(R)dark energy models
Amendola, L., Gannouji, R., Polarski, D., & Tsujikawa, S. (2007) · Physical Review D · doi:10.1103/physrevd.75.083504 · Cited by 701
Unifying inflation with ΛCDM epoch in modified f(R) gravity consistent with Solar System tests
Nojiri, S., & Odintsov, S. D. (2007) · Physics Letters B · doi:10.1016/j.physletb.2007.10.027 · Cited by 591
Self-citationDo consistent models mimic general relativity plus Λ?
Appleby, S. A., & Battye, R. A. (2007) · Physics Letters B · doi:10.1016/j.physletb.2007.08.037 · Cited by 529
Reconciling dark energy models withf(R)theories
Capozziello, S., Cardone, V. F., & Troisi, A. (2005) · Physical Review D · doi:10.1103/physrevd.71.043503 · Cited by 527
Large scale structure off(R)gravity
Song, Y.-S., Hu, W., & Sawicki, I. (2007) · Physical Review D · doi:10.1103/physrevd.75.044004 · Cited by 518
Tsujikawa, S. (2008) · Physical Review D · doi:10.1103/physrevd.77.023507 · Cited by 452
Modifiedf(R)gravity unifyingRminflation with theΛCDMepoch
Nojiri, S., & Odintsov, S. D. (2008) · Physical Review D · doi:10.1103/physrevd.77.026007 · Cited by 452
Self-citationOne-loop f(R) gravity in de Sitter universe
Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S. D., & Zerbini, S. (2005) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2005/02/010 · Cited by 442
Self-citationModified Gravity with ln R Terms and Cosmic Acceleration
Nojiri, S., & Odintsov, S. D. (2004) · General Relativity and Gravitation · doi:10.1023/b:gerg.0000035950.40718.48 · Cited by 440
Self-citationWhere new gravitational physics comes from: M-theory?
Nojiri, S., & Odintsov, S. D. (2003) · Physics Letters B · doi:10.1016/j.physletb.2003.09.091 · Cited by 392
Self-citationModified gravity and its reconstruction from the universe expansion history
Nojiri, S., & Odintsov, S. D. (2007) · Journal of Physics: Conference Series · doi:10.1088/1742-6596/66/1/012005 · Cited by 390
Self-citationConstrainingf(R)gravity as a scalar-tensor theory
Faulkner, T., Tegmark, M., Bunn, E. F., & Mao, Y. (2007) · Physical Review D · doi:10.1103/physrevd.76.063505 · Cited by 388
Dark energy dominance and cosmic acceleration in first-order formalism
Allemandi, G., Borowiec, A., Francaviglia, M., & Odintsov, S. D. (2005) · Physical Review D · doi:10.1103/physrevd.72.063505 · Cited by 383
Self-citationModified gravity with $\\ln R$ terms and cosmic acceleration
Nojiri, S., & Odintsov, S. D. (2003) · CERN Document Server (European Organization for Nuclear Research) · Cited by 375
Self-citationf ( R ) gravity and scalar–tensor theory
Sotiriou, T. P. (2006) · Classical and Quantum Gravity · doi:10.1088/0264-9381/23/17/003 · Cited by 372
Gravity assisted dark energy dominance and cosmic acceleration
Nojiri, S., & Odintsov, S. D. (2004) · Physics Letters B · doi:10.1016/j.physletb.2004.08.045 · Cited by 352
Self-citationThe power of general relativity
Clifton, T., & Barrow, J. D. (2005) · Physical Review D · doi:10.1103/physrevd.72.103005 · Cited by 346
Spherically symmetric solutions of modified field equations inf(R)theories of gravity
Multamäki, T., & Vilja, I. (2006) · Physical Review D · doi:10.1103/physrevd.74.064022 · Cited by 342
Pattern of growth in viablef(R)cosmologies
Pogosian, L., & Silvestri, A. (2008) · Physical Review D · doi:10.1103/physrevd.77.023503 · Cited by 335
Metric-affine f(R) theories of gravity
Sotiriou, T. P., & Liberati, S. (2007) · Annals of Physics · doi:10.1016/j.aop.2006.06.002 · Cited by 319
Cosmology off(R)gravity in the metric variational approach
Li, B., & Barrow, J. D. (2007) · Physical Review D · doi:10.1103/physrevd.75.084010 · Cited by 316
Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday
Abdalla, M. C. B., Nojiri, S., & Odintsov, S. D. (2005) · Classical and Quantum Gravity · doi:10.1088/0264-9381/22/5/l01 · Cited by 313
Self-citationLimit to general relativity inf(R)theories of gravity
Olmo, G. J. (2007) · Physical Review D · doi:10.1103/physrevd.75.023511 · Cited by 299
Energy conditions inf(R)gravity
Santos, J., Alcaniz, J. S., Rebouças, M. J., & Carvalho, F. C. (2007) · Physical Review D · doi:10.1103/physrevd.76.083513 · Cited by 298
Capozziello, S., Stabile, A., & Troisi, A. (2007) · Physical Review D · doi:10.1103/physrevd.76.104019 · Cited by 295
Dark energy: the equation of state description versus scalar-tensor or modified gravity
Capozziello, S., Nojiri, S., & Odintsov, S. D. (2006) · Physics Letters B · doi:10.1016/j.physletb.2006.01.065 · Cited by 249
Self-citationMatter instability in modified gravity
Faraoni, V. (2006) · Physical Review D · doi:10.1103/physrevd.74.104017 · Cited by 242
Stability of cosmological solutions inf(R)models of gravity
Sawicki, I., & Hu, W. (2007) · Physical Review D · doi:10.1103/physrevd.75.127502 · Cited by 231
Cosmological perturbations in the Palatini formulation of modified gravity
Koivisto, T., & Kurki-Suonio, H. (2006) · Classical and Quantum Gravity · doi:10.1088/0264-9381/23/7/009 · Cited by 229
f(R)gravity without a cosmological constant
de la Cruz-Dombriz, Á., & Dobado, A. (2006) · Physical Review D · doi:10.1103/physrevd.74.087501 · Cited by 225
Stability of modified gravity models
Faraoni, V., & Nadeau, S. (2005) · Physical Review D · doi:10.1103/physrevd.72.124005 · Cited by 217
Cosmological constraints on f(R) gravity theories within the Palatini approach
Amarzguioui, M., Elgarøy, Ø., Mota, D. F., & Multamäki, T. (2006) · Astronomy & Astrophysics · doi:10.1051/0004-6361:20064994 · Cited by 204
de Sitter space and the equivalence betweenf(R)and scalar-tensor gravity
Faraoni, V. (2007) · Physical Review D · doi:10.1103/physrevd.75.067302 · Cited by 204
f(R) actions, cosmic acceleration and local tests of gravity
Navarro, I., & Acoleyen, K. V. (2007) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2007/02/022 · Cited by 185
Evolution of density perturbations inf(R)gravity
Carloni, S., Dunsby, P. K. S., & Troisi, A. (2008) · Physical Review D · doi:10.1103/physrevd.77.024024 · Cited by 175
Viability criterion for modified gravity with an extra force
Faraoni, V. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.127501 · Cited by 163
Static spherically symmetric perfect fluid solutions in f(R) theories of gravity
Multamäki, T., & Vilja, I. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.064021 · Cited by 161
The Newtonian limit at intermediate energies
Cembranos, J. A. R. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.73.064029 · Cited by 151
Nojiri, S., & Odintsov, S. D. (2007) · Physics Letters B · doi:10.1016/j.physletb.2007.07.039 · Cited by 148
Self-citationViability of f(R) theories with additional powers of curvature
Brookfield, A. W., van de Bruck, C., & Hall, L. M. H. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.74.064028 · Cited by 138
Post-newtonian parameters from alternative theories of gravity
Allemandi, G., Francaviglia, M., Ruggiero, M. L., & Tartaglia, A. (2005) · General Relativity and Gravitation · doi:10.1007/s10714-005-0195-8 · Cited by 131
Letter: The Force of Gravity from a Lagrangian Containing Inverse Powers of the Ricci Scalar
Soussa, M., & Woodard, R. (2003) · General Relativity and Gravitation · doi:10.1023/b:gerg.0000017037.92729.69 · Cited by 130
Density perturbations in f(R) gravity theories in metric and Palatini formalisms
Tsujikawa, S., Uddin, K., & Tavakol, R. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.77.043007 · Cited by 126
MODIFIED GRAVITATIONAL THEORIES AND COSMIC ACCELERATION
EASSON, D. A. (2004) · International Journal of Modern Physics A · doi:10.1142/s0217751x04022578 · Cited by 124
The phase-space view of f ( R ) gravity
de Souza, J. C. C., & Faraoni, V. (2007) · Classical and Quantum Gravity · doi:10.1088/0264-9381/24/14/006 · Cited by 124
Constraining Inverse-Curvature Gravity with Supernovae
Mena, O., José Santiago, A., & Weller, J. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.041103 · Cited by 111
Can f(R) modified gravity theories mimic a ΛCDM cosmology?
Fay, S., Nesseris, S., & Perivolaropoulos, L. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.063504 · Cited by 96
Curvature scalar instability in f(R) gravity
Sotiriou, T. P. (2007) · Physics Letters B · doi:10.1016/j.physletb.2007.01.003 · Cited by 90
The Cauchy problem of f ( R ) gravity
Lanahan-Tremblay, N., & Faraoni, V. (2007) · Classical and Quantum Gravity · doi:10.1088/0264-9381/24/22/024 · Cited by 81
Solar System planetary orbital motions andf(R) theories of gravity
Ruggiero, M. L., & Iorio, L. (2007) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2007/01/010 · Cited by 80
Viable Palatini- f(R) cosmologies with generalized dark matter
Koivisto, T. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.043527 · Cited by 80
Letter: Gravitational Potential in the Palatini Formulation of Modified Gravity
Meng, X.-H., & Wang, P. (2004) · General Relativity and Gravitation · doi:10.1023/b:gerg.0000036052.81522.fe · Cited by 79
How (not) to use the Palatini formulation of scalar-tensor gravity
Iglesias, A., Kaloper, N., Padilla, A., & Park, M. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.104001 · Cited by 73
Dynamical systems analysis of anisotropic cosmologies in R n -gravity
Goheer, N., Leach, J. A., & Dunsby, P. K. S. (2007) · Classical and Quantum Gravity · doi:10.1088/0264-9381/24/22/026 · Cited by 72
Generalized second law in the modified theory of gravity
Sadjadi, H. M. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.104024 · Cited by 72
The cosmic snap parameter in f ( R ) gravity
Popławski, N. J. (2007) · Classical and Quantum Gravity · doi:10.1088/0264-9381/24/11/014 · Cited by 62
Noether charge and black hole entropy in modified theories of gravity
Vollick, D. N. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.124001 · Cited by 60
Consistency of f(R)=R2−R02 gravity with cosmological observations in the Palatini formalism
Movahed, M. S., Baghram, S., & Rahvar, S. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.044008 · Cited by 54
One-loopf(R) gravitational modified models
Cognola, G., & Zerbini, S. (2006) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/39/21/s15 · Cited by 50
Self-citationNojiri, S., & Odintsov, S. D. (2007) · Physics Letters B · doi:10.1016/j.physletb.2007.02.042 · Cited by 45
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Bustelo, A. J., & Barraco, D. E. (2007) · Classical and Quantum Gravity · doi:10.1088/0264-9381/24/9/011 · Cited by 36
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
f(R) Gravities à la Brans–Dicke
Rador, T. (2007) · Physics Letters B · doi:10.1016/j.physletb.2007.07.034 · Cited by 28
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Metadata
- Authors
- Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S. D., Sebastiani, L., & Zerbini, S.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2008-02-27
- Volume
- 77
- Issue
- 4
- Pages
- 046009-046009
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1993929115
- Cited by
- 871
- References
- 73
- FWCI
- 27.71
- Type
- journal article
- Language
- en
- Open access
- green
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