Approach to the extremal limit of the Schwarzschild-de Sitter black hole

Abstract

The quasinormal-mode spectrum of the Schwarzschild-de Sitter black hole is studied in the limit of near-equal black-hole and cosmological radii. It is found that the mode_frequencies_ agree with the P"oschl-Teller approximation to one more order than previously realized, even though the effective_potential_ does not. Whether the spectrum approaches the limiting one uniformly in the mode index is seen to depend on the chosen units (to the order investigated). A perturbation framework is set up, in which these issues can be studied to higher order in future.

REVTeX4, 4pp., no figures. N.B. "Alec" is my first, and "Maassen van den Brink" my family name. v2: added numerical verification

References in corpus (2)

• Quasinormal Modes, the Area Spectrum, and Black Hole Entropy
• Quasinormal modes of the near extremal Schwarzschild-de Sitter black hole

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