Algebraic Classification of Numerical Spacetimes and Black-Hole-Binary Remnants

Details Algebraic Classification of Numerical Spacetimes and Black-Hole-Binary Remnants Algebraic Classification of Numerical Spacetimes and Black-Hole-Binary Remnants

2008-11-18

arxiv.org/abs/0811.3006v2

Phys.Rev.D79:084012,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

published version

Scientific paper

In this paper we develop a technique for determining the algebraic classification of a numerical spacetime, possibly resulting from a generic black-hole-binary merger, using the Newman-Penrose Weyl scalars. We demonstrate these techniques for a test case involving a close binary with arbitrarily oriented spins and unequal masses. We find that, post merger, the spacetime quickly approaches Petrov type II, and only approaches type D on much longer timescales. These techniques allow us to begin to explore the validity of the "no-hair theorem" for generic merging-black-hole spacetimes.

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