TY - JOUR AU - Babichev, E. AU - Fabbri, A. PY - 2013 DA - 2013// TI - Instability of black holes in massive gravity T2 - Class. Quantum Gravity JO - Classical and Quantum Gravity SP - 152001 EP - 7pp VL - 30 IS - 15 PB - Iop Publishing Ltd AB - We show that linear perturbations around the simplest black hole solution of massive bi-gravity theories, the bi-Schwarzschild solution, exhibit an unstable mode featuring the Gregory-Laflamme instability of higher dimensional black strings. The result is obtained for the massive gravity theory which is free from the Boulware-Deser ghost, as well as for its extension with two dynamical metrics. These results may indicate that static black holes in massive gravity do not exist. For the graviton mass of the order of the Hubble scale, however, the instability timescale is of order of the Hubble time. SN - 0264-9381 UR - http://arxiv.org/abs/1304.5992 UR - https://doi.org/10.1088/0264-9381/30/15/152001 DO - 10.1088/0264-9381/30/15/152001 LA - English N1 - WOS:000321692600001 ID - Babichev+Fabbri2013 ER -