Angular momentum near the black hole threshold in scalar field collapse
General Relativity and Quantum Cosmology
2011-04-20 v1
Abstract
For the formation of a black hole in the gravitational collapse of a massless scalar field, we calculate a critical exponent that governs the black hole angular momentum for slightly non-spherical initial data near the black hole threshold. We calculate the scaling law by second-order perturbation theory. We then use the numerical results of a previous first-order perturbative analysis to obtain the numerical value mu ~ 0.76 for the angular momentum critical exponent. A quasi-periodic fine structure is superimposed on the overall power law.
Cite
@article{arxiv.gr-qc/9811004,
title = {Angular momentum near the black hole threshold in scalar field collapse},
author = {D. Garfinkle and C. Gundlach and J. M. Martin-Garcia},
journal= {arXiv preprint arXiv:gr-qc/9811004},
year = {2011}
}
Comments
7 pages, RevTex