Spherically Symmetric Solutions in Ghost-Free Massive Gravity
Abstract
Recently, a class of theories of massive gravity has been shown to be ghost-free. We study the spherically symmetric solutions in the bigravity formulation of such theories. In general, the solutions admit both a Lorentz invariant and a Lorentz breaking asymptotically flat behaviour and also fall in two branches. In the first branch, all solutions can be found analitycally and are Schwarzschild-like, with no modification as is found for other classes of theories. In the second branch, exact solutions are hard to find, and relying on perturbation theory, Yukawa-like modifications of the static potential are found. The general structure of the solutions suggests that the bigravity formulation of massive gravity is crucial and more than a tool.
Cite
@article{arxiv.1110.4967,
title = {Spherically Symmetric Solutions in Ghost-Free Massive Gravity},
author = {D. Comelli and M. Crisostomi and F. Nesti and L. Pilo},
journal= {arXiv preprint arXiv:1110.4967},
year = {2013}
}
Comments
15 pages. Some change in the references