Algebraic classification of numerical spacetimes and black-hole-binary remnants

Manuela Campanelli, Carlos O. Lousto, and Yosef Zlochower
Phys. Rev. D 79, 084012 – Published 8 April 2009

Abstract

In this paper we develop a technique for determining the algebraic classification of a numerically generated 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, postmerger, the spacetime quickly approaches Petrov type II, and only approaches type D on much longer time scales. These techniques, in combination with techniques for evaluating acceleration and Newman-Unti-Tamburino parameters, allow us to begin to explore the validity of the “no-hair theorem” for generic merging-black-hole spacetimes.

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  • Received 18 November 2008

DOI:https://doi.org/10.1103/PhysRevD.79.084012

©2009 American Physical Society

Authors & Affiliations

Manuela Campanelli, Carlos O. Lousto, and Yosef Zlochower

  • Center for Computational Relativity and Gravitation, and School of Mathematical Sciences, Rochester Institute of Technology, 78 Lomb Memorial Drive, Rochester, New York 14623, USA

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Issue

Vol. 79, Iss. 8 — 15 April 2009

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