Five-Dimensional Black Hole Capture Cross-Sections
arXiv:0803.1031 · doi:10.1103/PhysRevD.77.104026
Abstract
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.
RevTeX 4.0; 10 pages, 7 figures
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- `Hidden' Symmetries of Higher Dimensional Rotating Black Holes
- Analytic treatment of geodesics in five-dimensional Myers-Perry space--times
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- Geodesics and Symmetries of Doubly-Spinning Black Rings
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- Test of Kerr-Sen metric with black hole observations
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- Hidden Symmetries and Black Holes
- Coupling constant metamorphosis, Fermat principle and light propagation in Kerr metric
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