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arXiv · 1110.4967

Spherically Symmetric Solutions in Ghost-Free Massive Gravity

D. Comelli·M. Crisostomi·F. Nesti·L. Pilo
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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.

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D. Comelli, M. Crisostomi, F. Nesti, L. Pilo. 2011-10-22. Spherically Symmetric Solutions in Ghost-Free Massive Gravity. https://doi.org/10.1103/physrevd.85.024044

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