External stability for Spherically Symmetric Solutions in Lorentz Breaking Massive Gravity [CL]

http://arxiv.org/abs/1407.4840


We discuss spherically symmetric solutions for Stars and Black Holes in a class of Lorentz-breaking massive gravity theories. This analysis is valid both for St\”uckelberg’s effective field theory formulation and for Lorentz Breaking Massive Bigravity. The approach consists in analyzing the stability of the geodesic equations out to the star radius, at the first order (deviation equation). The main result is a strong constrain in the the space of parameters of the theory. This strongly motivates an higher order geodetic analysis of perturbations, to understand if it exists a class of spherically symmetric Lorentz-breaking massive gravity solutions for stars, black holes, and, in general, self-gravitating systems stable and phenomenologically acceptable.

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A. Addazi and S. Capozziello
Mon, 21 Jul 14
18/55

Comments: 7 pages, 1 figure