Quasinormal modes of small Schwarzschild-de Sitter black holes

Abstract

We study the behavior of the quasinormal modes (QNMs) of massless and massive linear waves on Schwarzschild-de Sitter black holes as the black hole mass tends to 0. Via uniform estimates for a degenerating family of ODEs, we show that in bounded subsets of the complex plane and for fixed angular momenta, the QNMs converge to those of the static model of de Sitter space. Detailed numerics illustrate our results and suggest a number of open problems.

31 pages, 8 figures

References in corpus (4)

• Quasinormal modes and Strong Cosmic Censorship
• A sharp version of Price's law for wave decay on asymptotically flat spacetimes
• Analyticity of quasinormal modes in the Kerr and Kerr-de Sitter spacetimes
• Quasinormal modes and dual resonant states on de Sitter space

Cited by in corpus (9)

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• Nonoscillatory gravitational quasinormal modes and telling tails for Schwarzschild-de Sitter black holes
• Existence of Zero-damped Quasinormal Frequencies for Nearly Extremal Black Holes
• Construction of the Unruh State for a Real Scalar Field on the Kerr-de Sitter Spacetime
• Quasinormal modes of Reissner-Nordström-AdS: the approach to extremality
• Waves in cosmological background with static Schwarzschild radius in the expanding universe
• Strong cosmic censorship for the spherically symmetric Einstein-Maxwell-charged-Klein-Gordon system with positive $\Lambda$: stability of the Cauchy horizon and $H^1$ extensions
• Upper bound on the number of resonances for even asymptotically hyperbolic manifolds with real-analytic ends
• Recovery of black hole mass from a single quasinormal mode