The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Conditions for the cosmological viability off(R)dark energy models
Open accessAbstract
We derive the conditions under which dark energy models whose Lagrangian densities $f$ are written in terms of the Ricci scalar $R$ are cosmologically viable. We show that the cosmological behavior of $f(R)$ models can be understood by a geometrical approach consisting of studying the $m(r)$ curve on the $(r,m)$ plane, where $m\ensuremath{\equiv}R{f}_{,RR}/{f}_{,R}$ and $r\ensuremath{\equiv}\ensuremath{-}R{f}_{,R}/f$ with ${f}_{,R}\ensuremath{\equiv}\mathrm{d}f/\mathrm{d}R$. This allows us to classify the $f(R)$ models into four general classes, depending on the existence of a standard matter epoch and on the final accelerated stage. The existence of a viable matter-dominated epoch prior to a late-time acceleration requires that the variable $m$ satisfies the conditions $m(r)\ensuremath{\approx}+0$ and $\mathrm{d}m/\mathrm{d}r>\ensuremath{-}1$ at $r\ensuremath{\approx}\ensuremath{-}1$. For the existence of a viable late-time acceleration we require instead either (i) $m=\ensuremath{-}r\ensuremath{-}1$, $(\sqrt{3}\ensuremath{-}1)/2 0$ and $n<\ensuremath{-}1$ and are thus cosmologically unacceptable. Similar conclusions can be reached for many other examples discussed in the text. In most cases the standard matter era is replaced by a cosmic expansion with scale factor $a\ensuremath{\propto}{t}^{1/2}$. We also find that $f(R)$ models can have a strongly phantom attractor but in this case there is no acceptable matter era.
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Cites
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Cited by
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Beyond the cosmological standard model
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Self-citationClass of viable modifiedf(R)gravities describing inflation and the onset of accelerated expansion
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Metadata
- Authors
- Amendola, L., Gannouji, R., Polarski, D., & Tsujikawa, S.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2007-04-06
- Volume
- 75
- Issue
- 8
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1985176266
- Cited by
- 701
- References
- 11
- FWCI
- 33.22
- Type
- journal article
- Language
- en
- Open access
- green
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