Three Dimensional Distorted Black Holes

Details Three Dimensional Distorted Black Holes Three Dimensional Distorted Black Holes

2002-06-24

arxiv.org/abs/gr-qc/0206070v2

Class.Quant.Grav. 20 (2003) 1-20

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 12 figures, accepted for publication in Classical and Quantum Gravity

Scientific paper

We present three-dimensional, {\it non-axisymmetric} distorted black hole initial data which generalizes the axisymmetric, distorted, non-rotating [Bernstein93a] and rotating [Brandt94a] single black hole data developed by Bernstein, Brandt, and Seidel. These initial data should be useful for studying the dynamics of fully 3D, distorted black holes, such as those created by the spiraling coalescence of two black holes. We describe the mathematical construction of several families of such data sets, and show how to construct numerical solutions. We survey quantities associated with the numerically constructed solutions, such as ADM masses, apparent horizons, measurements of the horizon distortion, and the maximum possible radiation loss ($MRL$).

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