Calculating quasinormal modes of Schwarzschild anti–de Sitter black holes using the continued fraction method

Ramin G. Daghigh, Michael D. Green, and Jodin C. Morey
Phys. Rev. D 107, 024023 – Published 19 January 2023

Abstract

We investigate the scalar, gravitational, and electromagnetic quasinormal mode spectra of Schwarzschild anti–de Sitter black holes using the numerical continued fraction method. The spectra have similar, almost linear structures. With a few exceptions, the low overtone quasinormal modes are consistent with previously obtained results in the literature that use other numerical techniques. The intermediate and high overtone quasinormal modes, in comparison to the Schwarzschild case, converge very quickly to the asymptotic formulas previously obtained by analytic monodromy techniques. In addition, we find a connection between the analytic asymptotic formulas and the purely imaginary modes. In particular, these formulas can be used to predict the bifurcation of the lowest damped electromagnetic modes. Finally, we find no high overtone quasinormal modes with high oscillation frequency and low damping, which had been previously predicted.

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  • Received 23 September 2022
  • Accepted 6 January 2023

DOI:https://doi.org/10.1103/PhysRevD.107.024023

© 2023 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Ramin G. Daghigh1, Michael D. Green2, and Jodin C. Morey3

  • 1Natural Sciences Department, Metropolitan State University, Saint Paul, Minnesota 55106, USA
  • 2Mathematics and Statistics Department, Metropolitan State University, Saint Paul, Minnesota 55106, USA
  • 3School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455, USA

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Vol. 107, Iss. 2 — 15 January 2023

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