A practical formula for the radiated angular momentum
General Relativity and Quantum Cosmology
2008-11-26 v2 Astrophysics
Abstract
We present a simple formula for the radiated angular momentum based on a spin-weighted spherical harmonic decomposition of the Weyl scalar psi_4 representing outgoing radiation in the Kinnersley tetrad. We test our formula by measuring the radiated angular momentum from three simulations of non-spinning equal-mass black-hole binary with orbital angular momentum aligned along the x, y, and z axes respectively. We find that the radiated angular momentum agrees with the differences in the remnant horizon spins and the initial angular momentum for each system.
Cite
@article{arxiv.gr-qc/0703061,
title = {A practical formula for the radiated angular momentum},
author = {Carlos O. Lousto and Yosef Zlochower},
journal= {arXiv preprint arXiv:gr-qc/0703061},
year = {2008}
}
Comments
4 pages, revtex4, Accepted to PRD