Static spherically symmetric perfect fluid solutions in $f(R)$ theories of gravity

Details Static spherically symmetric perfect fluid solutions in $f(R)$ theories of gravity Static spherically symmetric perfect fluid solutions in $f(R)$ theories of gravity

2006-12-29

arxiv.org/abs/astro-ph/0612775v1

Phys.Rev.D76:064021,2007

Astronomy and Astrophysics

Astrophysics

5 pages

Scientific paper

10.1103/PhysRevD.76.064021

Static spherically symmetric perfect fluid solutions are studied in metric $f(R)$ theories of gravity. We show that pressure and density do not uniquely determine $f(R)$ ie. given a matter distribution and an equation state, one cannot determine the functional form of $f(R)$. However, we also show that matching the outside Schwarzschild-de Sitter-metric to the metric inside the mass distribution leads to additional constraints that severely limit the allowed fluid configurations.

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