Gravitational Shock Waves for Schwarzschild and Kerr Black Holes

Details Gravitational Shock Waves for Schwarzschild and Kerr Black Holes Gravitational Shock Waves for Schwarzschild and Kerr Black Holes

1994-04-13

arxiv.org/abs/gr-qc/9404027v1

Phys.Rev.D50:3666-3675,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 Pages, KOBE--FHD--93--03, {\LaTeX}

Scientific paper

10.1103/PhysRevD.50.3666

The metrics of gravitational shock waves for a Schwarzschild black hole in ordinary coordinates and for a Kerr black hole in Boyer-Lindquist coordinates are derived. The Kerr metric is discussed for two cases: the case of a Kerr black hole moving parallel to the rotational axis, and moving perpendicular to the rotational axis. Then, two properties from the derived metrics are investigated: the shift of a null coordinate and the refraction angle crossing the gravitational shock wave. Astrophysical applications for these metrics are discussed in short.

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