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Energy conditions inf(R)gravity
Open accessAbstract
In order to shed some light on the current discussion about $f(R)$-gravity theories we derive and discuss the bounds imposed by the energy conditions on a general $f(R)$ functional form. The null and strong energy conditions in this framework are derived from Raychaudhuri's equation along with the requirement that gravity is attractive, whereas the weak and dominant energy conditions are stated from a comparison with the energy conditions that can be obtained in a direct approach via an effective energy-momentum tensor for $f(R)$ gravity. As a concrete application of the energy conditions to locally homogeneous and isotropic $f(R)$ cosmology, the recent estimated values of the deceleration and jerk parameters are used to examine the bounds from the weak energy condition on the parameters of two families of $f(R)$-gravity theories.
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4D gravity on a brane in 5D Minkowski space
Dvali, G., Gabadadze, G., & Porrati, M. (2000) · Physics Letters B · doi:10.1016/s0370-2693(00)00669-9 · Cited by 3,513
MODIFIED GRAVITATIONAL THEORIES AND COSMIC ACCELERATION
EASSON, D. A. (2004) · International Journal of Modern Physics A · doi:10.1142/s0217751x04022578 · Cited by 124
Cited by
Sotiriou, T. P., & Faraoni, V. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.451 · Cited by 4,519
Harko, T., Lobo, F. S. N., Nojiri, S., & Odintsov, S. D. (2011) · Physical Review D · doi:10.1103/physrevd.84.024020 · Cited by 2,772
Modified gravity theories on a nutshell: Inflation, bounce and late-time evolution
Nojiri, S., Odintsov, S. D., & Oikonomou, V. K. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.06.001 · Cited by 2,734
Beyond the cosmological standard model
Joyce, A., Jain, B., Khoury, J., & Trodden, M. (2015) · Physics Reports · doi:10.1016/j.physrep.2014.12.002 · Cited by 1,231
Class of viable modifiedf(R)gravities describing inflation and the onset of accelerated expansion
Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S. D., Sebastiani, L., & Zerbini, S. (2008) · Physical Review D · doi:10.1103/physrevd.77.046009 · Cited by 871
Metadata
- Authors
- Santos, J., Alcaniz, J. S., Rebouças, M. J., & Carvalho, F. C.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2007-10-17
- Volume
- 76
- Issue
- 8
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1966220201
- Cited by
- 298
- References
- 6
- FWCI
- 6.84
- Type
- journal article
- Language
- en
- Open access
- green
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