TY - JOUR AU - Babichev, E. AU - Fabbri, A. PY - 2014 DA - 2014// TI - Stability analysis of black holes in massive gravity: A unified treatment T2 - Phys. Rev. D JO - Physical Review D SP - 081502 EP - 5pp VL - 89 IS - 8 PB - Amer Physical Soc AB - We consider the analytic solutions of massive (bi) gravity which can be written in a simple form using advanced Eddington-Finkelstein coordinates. We analyze 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 nonbidiagonal 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. SN - 1550-7998 UR - http://arxiv.org/abs/arXiv:1401.6871 UR - https://doi.org/10.1103/PhysRevD.89.081502 DO - 10.1103/PhysRevD.89.081502 LA - English N1 - WOS:000334335000001 ID - Babichev+Fabbri2014 ER -