Regge poles of the Schwarzschild black hole: A WKB approach

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

DOI:https://doi.org/10.1103/PHYSREVD.81.024031· OSTI ID:21409092

Decanini, Yves; Folacci, Antoine ^[1]

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1. UMR CNRS 6134 SPE, Equipe Physique Theorique, Universite de Corse, Faculte des Sciences, BP 52, 20250 Corte (France)

We provide simple and accurate analytical expressions for the Regge poles of the Schwarzschild black hole. This is achieved by using third-order WKB approximations to solve the radial wave equations for spins 0, 1, and 2. These results permit us to obtain analytically the dispersion relation and the damping of the 'surface waves' lying close to the photon sphere of the Schwarzschild black hole and which generate the weakly damped quasinormal modes of its spectrum. Our results could be helpful in order to simplify considerably the description of wave scattering from the Schwarzschild black hole as well as the analysis of the gravitational radiation created in many black hole processes. Furthermore, the existence of nonlinear dispersion relations for the photons propagating close to the photon sphere could have also important consequences in the context of gravitational lensing.

• OSTI ID: 21409092
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTRONOMY AND ASTROPHYSICS
ANGULAR MOMENTUM
APPROXIMATIONS
BLACK HOLES
BOSONS
CALCULATION METHODS
DAMPING
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
ELEMENTARY PARTICLES
EQUATIONS
GRAVITATIONAL RADIATION
MASSLESS PARTICLES
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
PHOTONS
RADIATIONS
REGGE POLES
SCATTERING
SCHWARZSCHILD RADIUS
SIMULATION
SPECTRA
SPIN
WAVE EQUATIONS
WAVE PROPAGATION
WKB APPROXIMATION