Five-Dimensional Black Hole Capture Cross-Sections

Details Five-Dimensional Black Hole Capture Cross-Sections Five-Dimensional Black Hole Capture Cross-Sections

2008-03-07

arxiv.org/abs/0803.1031v1

Phys.Rev.D77:104026,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTeX 4.0; 10 pages, 7 figures

Scientific paper

10.1103/PhysRevD.77.104026

We study scattering and capture of particles by a rotating black hole in the five-dimensional spacetime described by the Myers-Perry metric. The equations of geodesic motion are integrable, and allow us to calculate capture conditions for a free particle sent towards a black hole from infinity. We introduce a three-dimensional impact parameter describing asymptotic initial conditions in the scattering problem for a given initial velocity. The capture surface in impact parameter space is a sphere for a non-rotating black hole, and is deformed for a rotating black hole. We obtain asymptotic expressions that describe such deformations for small rotational parameters, and use numerical calculations to investigate the arbitrary rotation case, which allows us to visualize the capture surface as extremal rotation is approached.

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