Spherically symmetric solutions of modified field equations in f ( R ) theories of gravity

By T. Multamaki, I. Vilja. 2006

247 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2b6c7f454ecfc55d7207fa0c1621ec57612fd32f

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

Bianchi type-III cosmological model in f(R,T) theory of gravity (2012, background): “Viable f (R) gravity models have been proposed by Nojiri and Odintsov (2007), Multamaki and Vilja (2006, 2007) and Shamir (2010) which show the unification of early time inflation and late time acceleration.”
f(R) Theories Of Gravity (2008, background): “…Capozziello and Tsujikawa, 2007; Cembranos, 2006; Clifton and Barrow, 2005a, 2006; Dick, 2004; Easson, 2004; Hu and Sawicki, 2007b; Iorio, 2007; Multamaki and Vilja, 2006b, 2007a; Navarro and Van Acoleyen, 2005, 2006; Olmo, 2005a,b; Rajaraman, 2003; Ruggiero and Iorio, 2007; Shao et al., 2006;…”