Spherically symmetric perturbations of a Schwarzschild black hole in torsion bigravity

Abstract

Time-dependent spherically-symmetric perturbations of Schwarzschild black holes are studied within torsion bigravity, i.e., within generalized Einstein-Cartan theories where the dynamical torsion carries massive spin-2 excitation. We reduce linearized perturbations to a Zerilli-like equation. The structure of the potential entering the latter Zerilli-like equation has two important consequences. First, in order to avoid the presence of singularities in generic perturbations, one must restrict the range (or inverse mass) of the spin-2 excitation to be (essentially) smaller than the radius of the considered black hole. Second, we then show that the Schwarzschild black hole is linearly stable against spherically-symmetric perturbations.

15 pages, 2 figures, 1 Mathematica notebook as ancillary file

References in corpus (2)

• Black holes in torsion bigravity
• Black holes in the long-range limit of torsion bigravity

Cited by in corpus (2)

• Perturbations of a Schwarzschild black hole in torsion bigravity
• Comment on "Spherically symmetric perturbations of a Schwarzschild black hole in torsion bigravity"