Staticity Theorem for Higher Dimensional Generalized Einstein-Maxwell System
High Energy Physics - Theory
2009-11-11 v1 General Relativity and Quantum Cosmology
High Energy Physics - Lattice
Abstract
We derive formulas for variations of mass, angular momentum and canonical energy in Einstein (n-2)-gauge form field theory by means of the ADM formalism. Considering the initial data for the manifold with an interior boundary which has the topology of (n-2)-sphere we obtained the generalized first law of black hole thermodynamics. Supposing that a black hole evevt horizon comprisesw a bifurcation Killing horizon with a bifurcate surface we find that the solution is static in the exterior world, when the Killing timelike vector field is normal to the horizon and has vanishing electric or magnetic fields on static slices.
Cite
@article{arxiv.hep-th/0501216,
title = {Staticity Theorem for Higher Dimensional Generalized Einstein-Maxwell System},
author = {Marek Rogatko},
journal= {arXiv preprint arXiv:hep-th/0501216},
year = {2009}
}
Comments
10 pages, REVTEX, to published in Phys.Rev. D15