Quasinormal modes of Kerr-de Sitter black holes

Journal Article · Mon Feb 15 04:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.044005· OSTI ID:21409293

Yoshida, Shijun; Uchikata, Nami; Futamase, Toshifumi ^[1]

---

1. Astronomical Institute, Graduate School of Science, Tohoku University, Sendai 980-8578 (Japan)

We calculate the fundamental quasinormal modes of the Kerr-de Sitter black hole for the first time. In order to calculate the quasinormal modes, we employ the master equations derived by Suzuki, Takasugi, and Umetsu, who transform the Teukolsky equations for the Kerr-de Sitter black hole into the standard form of the Heun's equation. The transformed functions are expanded around the outer horizon of the black hole or the symmetric axis in the Froebenius series whose coefficients satisfy a three-term recurrence relation. These three-term recurrence relations allow us to use Leaver's continued fraction method to calculate the angular separation constant and the quasinormal mode frequency. Any unstable fundamental quasinormal mode is not found in this paper. It is also observed that for some black holes characterized by a large mass parameter, some retrograde modes in the slow rotation limit become prograde as the black hole spin increases. This phenomenon does not occur for the fundamental modes of the Kerr black hole.

• OSTI ID: 21409293
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BLACK HOLES
COMPUTERIZED SIMULATION
CONTINUED FRACTIONS
DE SITTER SPACE
EQUATIONS
GRAVITATIONAL FIELDS
KERR FIELD
MASS
MATHEMATICAL SPACE
MOTION
PARTICLE PROPERTIES
RECURSION RELATIONS
ROTATION
SIMULATION
SPACE
SPIN
SYMMETRY