Metric of a tidally distorted, nonrotating black hole

Details Metric of a tidally distorted, nonrotating black hole Metric of a tidally distorted, nonrotating black hole

2005-01-10

arxiv.org/abs/gr-qc/0501032v2

Phys.Rev.Lett. 94 (2005) 161103

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages. Final version, as it will appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.94.161103

The metric of a tidally distorted, nonrotating black hole is presented in a light-cone coordinate system that penetrates the event horizon and possesses a clear geometrical meaning. The metric is expressed as an expansion in powers of r/R << 1, where r is a measure of distance from the black hole and R is the local radius of curvature of the external spacetime; this is assumed to be much larger than M, the mass of the black hole. The metric is calculated up to a remainder of order (r/R)^4, and it depends on a family of tidal gravitational fields which characterize the hole's local environment. The coordinate system allows an easy identification of the event horizon, and expressions are derived for its surface gravity and the rates at which the tidal interaction transfers mass and angular momentum to the black hole.

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