Quasi-linear static solutions in massive gravity

Details Quasi-linear static solutions in massive gravity Quasi-linear static solutions in massive gravity

2010-05-25

arxiv.org/abs/1005.4547v2

Physical Review D 82, 024020 (2010)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1103/PhysRevD.82.024020

The static vacuum spherically symmetric solutions of massive gravity theories possess two integration constant: the mass M and a scalar charge S. The presence of this scalar charge reflects the modification of the gravitational interaction as compared to General Relativity. Surprisingly, these solutions are non-linear even at large distances from the sources, implying that their asymptotic behavior is different from that obtained in the linear perturbation theory. The aim of this paper is to understand how these modified spherically symmetric solutions emerge from a quasi-linear approximation in order to generalize them to any arbitrary mass distribution. Along with these modified solutions, we found a new class of static solutions having a Yukawa shape.

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