New approach to the quasinormal modes of a black hole

Journal Article · Sun Jul 15 04:00:00 EDT 1984 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.30.295· OSTI ID:6654543

Ferrari, V; Mashhoon, B

We describe a new analytic approach to the problem of black-hole oscillations, which has been investigated numerically thus far. Our treatment is based on a connection between the quasinormal modes and the bound states of the inverted black-hole effective potentials. Approximate analytic formulas for the quasinormal frequencies of Schwarzschild, Reissner-Nordstroem, and slowly rotating Kerr black holes are provided. We find that a real quasinormal frequency for an extreme Kerr black hole has vanishing amplitude in the ordinary (i.e., nonsuperradiant) regime; therefore, extreme Kerr black holes are not marginally unstable in this case. These results are significant for the question of the stability of a black hole as well as for the late-time behavior of radiation from gravitationally collapsing configurations.

• Research Organization: Istituto di Fisica G. Marconi, Universita di Roma, Piazzale Aldo Moro 2, 00185 Roma, Italy
• OSTI ID: 6654543
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 30:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

640102* -- Astrophysics & Cosmology-- Stars & Quasi-Stellar
Radio & X-Ray Sources
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BLACK HOLES
BOUND STATE
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
KERR METRIC
METRICS
OSCILLATION MODES
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
POTENTIALS
SCHROEDINGER EQUATION
SCHWARZSCHILD RADIUS
SPACE-TIME
WAVE EQUATIONS