The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Accelerated cosmological models in Ricci squared gravity
Open accessAbstract
Alternative gravitational theories described by Lagrangians depending on general functions of the Ricci scalar have been proven to give coherent theoretical models to describe the experimental evidence of the acceleration of the Universe at present time. In this paper we proceed further in this analysis of cosmological applications of alternative gravitational theories depending on (other) curvature invariants. We introduce Ricci squared Lagrangians in minimal interaction with matter (perfect fluid); we find modified Einstein equations and consequently modified Friedmann equations in the Palatini formalism. It is striking that both Ricci scalar and Ricci squared theories are described in the same mathematical framework and both the generalized Einstein equations and generalized Friedmann equations have the same structure. In the framework of the cosmological principle, without the introduction of exotic forms of dark energy, we thus obtain modified equations providing values of ${w}_{\mathrm{e}\mathrm{f}\mathrm{f}}<\ensuremath{-}1$ in accordance with the experimental data. The spacetime bi-metric structure plays a fundamental role in the physical interpretation of results and gives them a clear and very rich geometrical interpretation.
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Cites
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Cited by
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
Extended theories of gravity and their cosmological and astrophysical applications
Capozziello, S., & Francaviglia, M. (2008) · General Relativity and Gravitation · doi:10.1007/s10714-007-0551-y · Cited by 874
Self-citationCosmology 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
Metadata
- Authors
- Allemandi, G., Borowiec, A., & Francaviglia, M.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2004-11-05
- Volume
- 70
- Issue
- 10
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2011917235
- Cited by
- 242
- References
- 8
- FWCI
- 15.56
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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