Spherically symmetric dynamical horizons
General Relativity and Quantum Cosmology
2011-04-21 v1
Abstract
We determine sufficient and necessary conditions for a spherically symmetric initial data set to satisfy the dynamical horizon conditions in the spacetime development. The constraint equations reduce to a single second order linear master equation, which leads to a systematic construction of all spherically symmetric dynamical horizons (SSDH) satisfying certain boundedness conditions. We also find necessary and sufficient conditions for a given spherically symmetric spacetime to contain a SSDH.
Cite
@article{arxiv.gr-qc/0512091,
title = {Spherically symmetric dynamical horizons},
author = {Robert Bartnik and Jim Isenberg},
journal= {arXiv preprint arXiv:gr-qc/0512091},
year = {2011}
}
Comments
latex, 19 pages, no figures