Spherically Symmetric Solutions in Ghost-Free Massive Gravity

Details Spherically Symmetric Solutions in Ghost-Free Massive Gravity Spherically Symmetric Solutions in Ghost-Free Massive Gravity

2011-10-22

arxiv.org/abs/1110.4967v2

Physics

High Energy Physics

High Energy Physics - Theory

15 pages. Some change in the references

Scientific paper

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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