The interior spacetimes of stars in Palatini f(R) gravity

Details The interior spacetimes of stars in Palatini f(R) gravity The interior spacetimes of stars in Palatini f(R) gravity

2006-11-25

arxiv.org/abs/gr-qc/0611132v3

Phys.Rev.D76:043503,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Published version, 6 pages, 1 figure

Scientific paper

10.1103/PhysRevD.76.043503

We study the interior spacetimes of stars in the Palatini formalism of f(R) gravity and derive a generalized Tolman-Oppenheimer-Volkoff and mass equation for a static, spherically symmetric star. We show that matching the interior solution with the exterior Schwarzschild-De Sitter solution in general gives a relation between the gravitational mass and the density profile of a star, which is different from the one in General Relativity. These modifications become neglible in models for which $\delta F(R) \equiv \partial f/\partial R - 1$ is a decreasing function of R however. As a result, both Solar System constraints and stellar dynamics are perfectly consistent with $f(R) = R - \mu^4/R$.

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