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f(R)gravity without a cosmological constant
Open accessAbstract
In this work we consider the possibility of describing the current evolution of the universe, without the introduction of any cosmological constant or dark energy (DE), by modifying the Einstein-Hilbert (EH) action. In the context of the $f(R)$ gravities within the metric formalism, we show that it is possible to find an action without cosmological constant which exactly reproduces the behavior of the EH action with cosmological constant. In addition the $f(R)$ action is analytical at the origin having Minkowski and Schwarzschild solutions as vacuum solutions. The found $f(R)$ action is highly nontrivial and must be written in terms of hypergeometric functions but, in spite of looking somewhat artificial, it shows that the cosmological constant, or more generally the DE, is not a logical necessity.
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Cites
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
Riess, A. G., Filippenko, A. V., Challis, P., Clocchiatti, A., Diercks, A., Garnavich, P. M., Gilliland, R. L., Hogan, C. J., Jha, S., Kirshner, R. P., et al. (1998) · The Astronomical Journal · doi:10.1086/300499 · Cited by 19,704
Measurements of Ω and Λ from 42 High‐Redshift Supernovae
Perlmutter, S., Aldering, G., Goldhaber, G., Knop, R. A., Nugent, P., Castro, P. G., Deustua, S., Fabbro, S., Goobar, A., Groom, D. E., et al. (1999) · The Astrophysical Journal · doi:10.1086/307221 · Cited by 18,062
A new type of isotropic cosmological models without singularity
Starobinsky, A. A. (1980) · Physics Letters B · doi:10.1016/0370-2693(80)90670-x · Cited by 7,677
Three‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Implications for Cosmology
Spergel, D. N., Bean, R., Dore, O., Nolta, M. R., Bennett, C. L., Dunkley, J., Hinshaw, G., Jarosik, N., Komatsu, E., Page, L., et al. (2007) · The Astrophysical Journal Supplement Series · doi:10.1086/513700 · Cited by 6,778
Cited by
Sotiriou, T. P., & Faraoni, V. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.451 · Cited by 4,519
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
Bamba, K., Capozziello, S., Nojiri, S., & Odintsov, S. D. (2012) · Astrophysics and Space Science · doi:10.1007/s10509-012-1181-8 · Cited by 2,387
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
- de la Cruz-Dombriz, Á., & Dobado, A.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2006-10-04
- Volume
- 74
- Issue
- 8
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1485854516
- Cited by
- 225
- References
- 4
- FWCI
- 7.33
- Type
- journal article
- Language
- en
- Open access
- bronze
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