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arXiv · 1401.6871

Stability analysis of black holes in massive gravity: a unified treatment

Eugeny Babichev·Alessandro Fabbri
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Abstract

We consider the analytic solutions of massive (bi)gravity which can be written in a simple form using advanced Eddington-Finkelstein coordinates. We analyse the stability of these solutions against radial perturbations. First we recover the previously obtained result on the instability of the bidiagonal bi-Schwarzschild solutions. In the non-bidiagonal case (which contains, in particular, the Schwarzschild solution with Minkowski fiducial metric) we show that generically there are physical spherically symmetric perturbations, but no unstable modes.

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Eugeny Babichev, Alessandro Fabbri. 2014-04-09. Stability analysis of black holes in massive gravity: a unified treatment. https://doi.org/10.1103/physrevd.89.081502

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