How general is the strong cosmic censorship bound for quasinormal modes?

Abstract

Hod's proposal claims that the least damped quasinormal mode of a black hole must have the imaginary part smaller than half of the surface gravity at the event horizon. The Strong Cosmic Censorship in General Relativity implies that this bound must be even weaker: half of the surface gravity at the Cauchy horizon. The appealing question is whether these bounds are limited by the Einstein theory only? Here we will present numerical evidence that once the black hole size is much smaller than then the radius of the cosmological horizon, both the Hod's proposal and the strong cosmic censorship bound for quasinormal modes are satisfied for general spherically symmetric black holes in an arbitrary metric theory of gravity. The low-lying quasinormal frequencies have the universal behavior in this regime and do not depend on the near-horizon geometry, but only on the asymptotic parameters: the value of the cosmological constant and black hole mass.

8 pages, 2 figures

References in corpus (9)

• Quasinormal modes and Strong Cosmic Censorship
• New parametrization for spherically symmetric black holes in metric theories of gravity
• Universal Bound on Dynamical Relaxation Times and Black-Hole Quasinormal Ringing
• Quasinormal modes of D-dimensional de Sitter spacetime
• Strong Cosmic Censorship in higher-dimensional Reissner-Nordström-de Sitter spacetime
• Nonoscillatory gravitational quasinormal modes and telling tails for Schwarzschild-de Sitter black holes
• Absorption and quasinormal modes of classical fields propagating on 3D and 4D de Sitter spacetime
• Conformal Weyl gravity via two stages of quasinormal ringing and late-time behavior
• A proof of the strong cosmic censorship conjecture

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