Bound states in the Kerr metric

Journal Article · Mon Jan 15 04:00:00 EST 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.19.451· OSTI ID:6332373

de Felice, F

We study the massless Klein-Gordon equation in the Kerr metric with a > M. In the neighborhood of the surface r = M, where a degenerate horizon forms when a = M, the radial equation becomes that of a harmonic oscillator. This applies only to the modes with high angular momentum and low energy; we study the bound states in this potential and derive the energy spectrum. We then consider the limit of a ..-->.. M, with the purpose of clarifying some of the properties of a degenerate horizon.

• Research Organization: Theoretical Physics Institute, The University of Alberta, Edmonton, Alberta, Canada, T6G 2J1
• OSTI ID: 6332373
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 19:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
BOUND STATE
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ENERGY SPECTRA
EQUATIONS
GRAVITATIONAL FIELDS
HARMONIC OSCILLATORS
KERR METRIC
KLEIN-GORDON EQUATION
MASSLESS PARTICLES
METRICS
SCALAR FIELDS
SPECTRA
WAVE EQUATIONS