The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Reconciling dark energy models withf(R)theories
Open accessAbstract
Higher-order theories of gravity have recently attracted a lot of interest as alternative candidates to explain the observed cosmic acceleration without the need of introducing any scalar field. A critical ingredient is the choice of the function $f(R)$ of the Ricci scalar curvature entering the gravity Lagrangian and determining the dynamics of the Universe. We describe an efficient procedure to reconstruct $f(R)$ from the Hubble parameter $H$ depending on the redshift $z$. Using the metric formulation of $f(R)$ theories, we derive a third order linear differential equation for $f[R(z)]$ which can be numerically solved after setting the boundary conditions on the basis of physical considerations. Since $H(z)$ can be reconstructed from the astrophysical data, the method we present makes it possible to determine, in principle, what is the $f(R)$ theory which best reproduces the observed cosmological dynamics. Moreover, the method allows to reconcile dark energy models with $f(R)$ theories finding out what is the expression of $f(R)$ which leads to the same $H(z)$ of the given quintessence model. As interesting examples, we consider ``quiessence'' (dark energy with constant equation of state) and the Chaplygin gas.
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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
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Self-citationModified gravity theories on a nutshell: Inflation, bounce and late-time evolution
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In the realm of the Hubble tension—a review of solutions *
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Metadata
- Authors
- Capozziello, S., Cardone, V. F., & Troisi, A.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2005-02-15
- Volume
- 71
- Issue
- 4
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2142607228
- Cited by
- 527
- References
- 11
- FWCI
- 24.40
- Type
- journal article
- Language
- en
- Open access
- green
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