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1/Rcurvature corrections as the source of the cosmological acceleration
Open accessAbstract
Corrections to Einstein's equations that become important at small curvatures are considered. The field equations are derived using a Palatini variation in which the connection and metric are varied independently. In contrast with the Einstein-Hilbert variation, which yields fourth order equations, the Palatini approach produces second order equations in the metric. The Lagrangian $L(R)=R\ensuremath{-}{\ensuremath{\alpha}}^{2}/R$ is examined and it is shown that it leads to equations whose solutions approach a de Sitter universe at late times. Thus, the inclusion of $1/R$ curvature terms in the gravitational action offers an alternative explanation for the cosmological acceleration.
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Citations
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
Diluting the cosmological constant in infinite volume extra dimensions
Dvali, G., Gabadadze, G., & Shifman, M. (2003) · Physical Review D · doi:10.1103/physrevd.67.044020 · Cited by 207
Cited by
Sotiriou, T. P., & Faraoni, V. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.451 · Cited by 4,519
Capozziello, S., & De Laurentis, M. (2011) · Physics Reports · doi:10.1016/j.physrep.2011.09.003 · Cited by 3,321
Nojiri, S., & Odintsov, S. D. (2003) · Physical Review D · doi:10.1103/physrevd.68.123512 · Cited by 2,183
Modified Gauss–Bonnet theory as gravitational alternative for dark energy
Nojiri, S., & Odintsov, S. D. (2005) · Physics Letters B · doi:10.1016/j.physletb.2005.10.010 · Cited by 1,358
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
Metadata
- Authors
- Vollick, D. N.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2003-09-24
- Volume
- 68
- Issue
- 6
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W1975756206
- Cited by
- 361
- References
- 3
- FWCI
- 18.56
- Type
- journal article
- Language
- en
- Open access
- green
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