Universality of high-energy absorption cross sections for black holes

Journal Article · Tue Feb 15 00:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.044032· OSTI ID:21504995

Decanini, Yves ^[1]; Esposito-Farese, Gilles ^[2]; Folacci, Antoine ^[1]

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1. Equipe Physique Theorique, SPE, UMR 6134 du CNRS et de l'Universite de Corse, Universite de Corse, Faculte des Sciences, B.P. 52, F-20250 Corte (France)
2. GReCO, Institut d'Astrophysique de Paris, UMR 7095 du CNRS et de l'Universite Pierre et Marie Curie-Paris 6, 98bis boulevard Arago, F-75014 Paris (France)

We consider the absorption problem for a massless scalar field propagating in static and spherically symmetric black holes of arbitrary dimension endowed with a photon sphere. For this wide class of black holes, we show that the fluctuations of the high-energy absorption cross section are totally and very simply described from the properties (dispersion relation and damping) of the waves trapped near the photon sphere and therefore, in the eikonal regime, from the characteristics (orbital period and Lyapunov exponent) of the null unstable geodesics lying on the photon sphere. This is achieved by using Regge pole techniques. They permit us to make an elegant and powerful resummation of the absorption cross section and to extract then all the physical information encoded in the sum over the partial wave contributions. Our analysis induces moreover some consequences concerning Hawking radiation which we briefly report.

• OSTI ID: 21504995
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevD.83.044032; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
CROSS SECTIONS
DISPERSION RELATIONS
EIKONAL APPROXIMATION
ENERGY ABSORPTION
FLUCTUATIONS
GEODESICS
LYAPUNOV METHOD
PARTIAL WAVES
PHOTONS
REGGE POLES
SCALAR FIELDS
SYMMETRY
TRAPPING
ABSORPTION
APPROXIMATIONS
BOSONS
CALCULATION METHODS
ELEMENTARY PARTICLES
MASSLESS PARTICLES
SORPTION
VARIATIONS