The DOI matches its Crossref record; 32 of the 32 references it cites were found in a registry or an index.
Spherically symmetric solutions of modified field equations inf(R)theories of gravity
Open accessAbstract
Spherically symmetric static empty space solutions are studied in $f(R)$ theories of gravity. We reduce the set of modified Einstein's equations to a single equation and show how one can construct exact solutions in different $f(R)$ models. In particular, we show that for a large class models, including e.g. the $f(R)=R\ensuremath{-}{\ensuremath{\mu}}^{4}/R$ model, the Schwarzschild-de Sitter metric is an exact solution of the field equations. The significance of these solutions is discussed in light of solar system constraints on $f(R)$ theories of gravity.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
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
Spergel, D. N., Verde, L., Peiris, H. V., Komatsu, E., Nolta, M. R., Bennett, C. L., Halpern, M., Hinshaw, G., Jarosik, N., Kogut, A., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377226 · Cited by 10,976
The cosmological constant problem
Weinberg, S. (1989) · Reviews of Modern Physics · doi:10.1103/revmodphys.61.1 · Cited by 7,341
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
The cosmological constant and dark energy
Peebles, P. J. E., & Ratra, B. (2003) · Reviews of Modern Physics · doi:10.1103/revmodphys.75.559 · Cited by 5,213
Cosmological parameters from SDSS and WMAP
Tegmark, M., Strauss, M. A., Blanton, M. R., Abazajian, K., Dodelson, S., Sandvik, H., Wang, X., Weinberg, D. H., Zehavi, I., Bahcall, N. A., et al. (2004) · Physical Review D · doi:10.1103/physrevd.69.103501 · Cited by 3,982
Astier, P., Guy, J., Regnault, N., Pain, R., Aubourg, E., Balam, D., Basa, S., Carlberg, R. G., Fabbro, S., Fouchez, D., et al. (2006) · Astronomy & Astrophysics · doi:10.1051/0004-6361:20054185 · Cited by 2,434
Is 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
CAPOZZIELLO, S. (2002) · International Journal of Modern Physics D · doi:10.1142/s0218271802002025 · Cited by 1,375
Tensor-multi-scalar theories of gravitation
Damour, T., & Esposito-Farese, G. (1992) · Classical and Quantum Gravity · doi:10.1088/0264-9381/9/9/015 · Cited by 1,016
Can 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
1/R gravity and scalar-tensor gravity
Chiba, T. (2003) · Physics Letters B · doi:10.1016/j.physletb.2003.09.033 · Cited by 678
Cosmology of generalized modified gravity models
Carroll, S. M., De Felice, A., Duvvuri, V., Easson, D. A., Trodden, M., & Turner, M. S. (2005) · Physical Review D · doi:10.1103/physrevd.71.063513 · Cited by 604
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
Magnano, G., & Sokołowski, L. M. (1994) · Physical Review D · doi:10.1103/physrevd.50.5039 · Cited by 426
Where 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
The power of general relativity
Clifton, T., & Barrow, J. D. (2005) · Physical Review D · doi:10.1103/physrevd.72.103005 · Cited by 346
The conformal frame freedom in theories of gravitation
Flanagan, É. É. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/15/n02 · Cited by 325
The Gravity Lagrangian According to Solar System Experiments
Olmo, G. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.261102 · Cited by 320
Efstathiou, G., Moody, S., Peacock, J. A., Percival, W. J., Baugh, C., Bland-Hawthorn, J., Bridges, T., Cannon, R., Cole, S., Colless, M., et al. (2002) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.2002.05215.x · Cited by 276
Accelerated cosmological models in Ricci squared gravity
Allemandi, G., Borowiec, A., & Francaviglia, M. (2004) · Physical Review D · doi:10.1103/physrevd.70.103503 · Cited by 242
Stability of modified gravity models
Faraoni, V., & Nadeau, S. (2005) · Physical Review D · doi:10.1103/physrevd.72.124005 · Cited by 217
Higher-order gravity theories and scalar–tensor theories
Flanagan, É. É. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/2/006 · Cited by 211
Solar system effects in Schwarzschild–de Sitter space–time
Kagramanova, V., Kunz, J., & Lämmerzahl, C. (2006) · Physics Letters B · doi:10.1016/j.physletb.2006.01.069 · Cited by 162
Cosmological evolution in 1/ R -gravity theory
Meng, X. H., & Wang, P. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/4/015 · Cited by 144
The nearly Newtonian regime in non-linear theories of gravity
Sotiriou, T. P. (2006) · General Relativity and Gravitation · doi:10.1007/s10714-006-0328-8 · Cited by 133
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
Fujii, Y. (2013) · Gravitation and Cosmology · doi:10.1134/12267.1995-0721 · Cited by 127
Cosmological expansion and the uniqueness of the gravitational action
Multamäki, T., & Vilja, I. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.73.024018 · Cited by 74
Self-citation
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
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
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
Nojiri, S., & Odintsov, S. D. (2006) · Physical Review D · doi:10.1103/physrevd.74.086005 · Cited by 940
Metadata
- Authors
- Multamäki, T., & Vilja, I.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2006-09-20
- Volume
- 74
- Issue
- 6
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2107844171
- Cited by
- 342
- References
- 32
- FWCI
- 8.87
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
