Quasinormal modes of small Schwarzschild-de Sitter black holes

Peter Hintz; Yuqing Xie

Quasinormal modes of small Schwarzschild-de Sitter black holes

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arxiv 2105.02347 v1 pith:NOGQTI7W submitted 2021-05-05 gr-qc math.APmath.SP

Peter Hintz , YuQing Xie This is my paper

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keywords blacksitterholesmodesqnmsquasinormalschwarzschild-deangular

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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.

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Non-oscillatory gravitational quasinormal modes of Reissner-Nordstr\"om-de Sitter spacetime
gr-qc 2025-06 conditional novelty 6.0 of 10

Purely imaginary gravitational quasinormal modes of Reissner-Nordström-de Sitter black holes are computed and shown to obey a universal small-hole formula and to generate late-time exponential tails.

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