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.

arXiv comment15 pages, 2 figures, 1 Mathematica notebook as ancillary file

References in corpus (18)

• Black Strings and p-Branes are Unstable
• Bimetric Gravity from Ghost-free Massive Gravity
• Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass
• Instability of black holes in massive gravity
• Hairy black holes in the ghost-free bigravity theory
• Black holes with massive graviton hair
• Bound States in one and two Spatial Dimensions
• Massive Spin-2 fields of Geometric Origin in Curved Spacetimes
• Infrared Modified Gravity with Dynamical Torsion
• Non linear Fierz-Pauli theory from torsion and bigravity
• Infrared modified gravity with propagating torsion: instability of torsionfull de Sitter-like solutions
• Self-accelerating Universe in modified gravity with dynamical torsion
• Spherically symmetric solutions in torsion bigravity
• On the stability of self-accelerating Universe in modified gravity with dynamical torsion
• Absence of a Vainshtein radius in torsion bigravity
• Black holes in torsion bigravity
• Stability of self-accelerating Universe in modified gravity with dynamical torsion: the case of small background torsion
• 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"