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.

arXiv comment31 pages, 8 figures

References in corpus (23)

• Quasinormal modes of black holes and black branes
• Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
• Testing the no-hair theorem with GW150914
• Quasinormal modes and Strong Cosmic Censorship
• Quasi-normal modes of Schwarzschild-de Sitter black holes
• Gauge symmetry breaking on orbifolds
• On quasinormal modes of small Schwarzschild-Anti-de-Sitter black hole
• The global non-linear stability of the Kerr-de Sitter family of black holes
• Telling Tails In The Presence Of A Cosmological Constant
• Strong cosmic censorship in charged black-hole spacetimes: still subtle
• Radiative falloff in Schwarzschild-de Sitter spacetime
• Strong cosmic censorship in de Sitter space
• Analysis of linear waves near the Cauchy horizon of cosmological black holes
• On quasinormal modes of asymptotically anti-de Sitter black holes
• Cosmic Censorship: As Strong As Ever
• Asymptotic distribution of quasi-normal modes for Kerr-de Sitter black holes
• Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes
• Kerr-de Sitter Quasinormal Modes via Accessory Parameter Expansion
• A sharp version of Price's law for wave decay on asymptotically flat spacetimes
• Asymptotics for the wave equation on differential forms on Kerr-de Sitter space
• Analytic hypoellipticity of Keldysh operators
• 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)

• Perturbing the perturbed: Stability of quasinormal modes in presence of a positive cosmological constant
• 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