The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Newtonian limit off(R)gravity
Open accessAbstract
A general analytic procedure is developed to deal with the Newtonian limit of $f(R)$ gravity. A discussion comparing the Newtonian and the post-Newtonian limit of these models is proposed in order to point out the differences between the two approaches. We calculate the post-Newtonian parameters of such theories without any redefinition of the degrees of freedom, in particular, without adopting some scalar fields and without any change from Jordan to Einstein frame. Considering the Taylor expansion of a generic $f(R)$ theory, it is possible to obtain general solutions in terms of the metric coefficients up to the third order of approximation. In particular, the solution relative to the ${g}_{tt}$ component gives a gravitational potential always corrected with respect to the Newtonian one of the linear theory $f(R)=R$. Furthermore, we show that the Birkhoff theorem is not a general result for $f(R)$ gravity since time-dependent evolution for spherically symmetric solutions can be achieved depending on the order of perturbations. Finally, we discuss the post-Minkowskian limit and the emergence of massive gravitational wave solutions.
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Cites
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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
Self-citationHarko, 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
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
- Capozziello, S., Stabile, A., & Troisi, A.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2007-11-13
- Volume
- 76
- Issue
- 10
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1562625608
- Cited by
- 295
- References
- 7
- FWCI
- 9.86
- Type
- journal article
- Language
- en
- Open access
- green
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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).
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