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

Tuomas Multamaki·Iiro Vilja
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Abstract

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-μ^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.

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Tuomas Multamaki, Iiro Vilja. 2006-10-25. Spherically symmetric solutions of modified field equations in f(R) theories of gravity. https://doi.org/10.1103/physrevd.74.064022

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