Exact Spherically Symmetric Solutions in Massive Gravity
Abstract
A phase of massive gravity free from pathologies can be obtained by coupling the metric to an additional spin-two field. We study the gravitational field produced by a static spherically symmetric body, by finding the exact solution that generalizes the Schwarzschild metric to the case of massive gravity. Besides the usual 1/r term, the main effects of the new spin-two field are a shift of the total mass of the body and the presence of a new power-like term, with sizes determined by the mass and the shape (the radius) of the source. These modifications, being source dependent, give rise to a dynamical violation of the Strong Equivalence Principle. Depending on the details of the coupling of the new field, the power-like term may dominate at large distances or even in the ultraviolet. The effect persists also when the dynamics of the extra field is decoupled.
Cite
@article{arxiv.0803.1687,
title = {Exact Spherically Symmetric Solutions in Massive Gravity},
author = {Z. Berezhiani and D. Comelli and F. Nesti and L. Pilo},
journal= {arXiv preprint arXiv:0803.1687},
year = {2009}
}
Comments
24 pages, Latex JHEP style, added clarifications. Version accepted in JHEP