A Variational Principle for Asymptotically Randall-Sundrum Black Holes
General Relativity and Quantum Cosmology
2015-07-29 v3 High Energy Physics - Theory
Abstract
We prove the following variational principle for asymptotically Randall-Sundrum (RS) black holes, based on the first law of black hole mechanics: Instantaneously static initial data that extremizes the mass yields a static black hole, for variations at fixed apparent horizon area, AdS curvature length, cosmological constant, brane tensions, and RS brane warp factors. This variational principle is valid with either two branes (RS1) or one brane (RS2), and is applicable to variational trial solutions.
Keywords
Cite
@article{arxiv.1408.6586,
title = {A Variational Principle for Asymptotically Randall-Sundrum Black Holes},
author = {Scott Fraser and Douglas M. Eardley},
journal= {arXiv preprint arXiv:1408.6586},
year = {2015}
}
Comments
5 pages, REVTeX 4.1; for published version, see arXiv:1408.4425