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

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

2003-04-24

arxiv.org/abs/gr-qc/0304092v2

Phys.Rev. D68 (2003) 047501

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.68.047501

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.

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