Quasi-Spherical Light Cones of the Kerr Geometry

Details Quasi-Spherical Light Cones of the Kerr Geometry Quasi-Spherical Light Cones of the Kerr Geometry

1998-03-25

arxiv.org/abs/gr-qc/9803080v1

Class.Quant.Grav. 15 (1998) 2289-2301

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 14 pages, 2 figures

Scientific paper

10.1088/0264-9381/15/8/012

Quasi-spherical light cones are lightlike hypersurfaces of the Kerr geometry that are asymptotic to Minkowski light cones at infinity. We develop the equations of these surfaces and examine their properties. In particular, we show that they are free of caustics for all positive values of the Kerr radial coordinate r. Useful applications include the propagation of high-frequency waves, the definition of Kruskal-like coordinates for a spinning black hole and the characteristic initial-value problem.

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