Universality of high-energy absorption cross sections for black holes

Details Universality of high-energy absorption cross sections for black holes Universality of high-energy absorption cross sections for black holes

2011-01-04

arxiv.org/abs/1101.0781v2

Phys.Rev.D83:044032,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

v2: minor corrections reflecting the version to appear in PRD

Scientific paper

10.1103/PhysRevD.83.044032

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.

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