Constructing "non-Kerrness" on compact domains
General Relativity and Quantum Cosmology
2012-05-23 v2
Abstract
Given a compact domain of a 3-dimensional hypersurface on a vacuum spacetime, a scalar (the "non-Kerrness") is constructed by solving a Dirichlet problem for a second order elliptic system. If such scalar vanishes, and a set of conditions are satisfied at a point, then the domain of dependence of the compact domain is isometric to a portion of a member of the Kerr family of solutions to the Einstein field equations. This construction is expected to be of relevance in the analysis of numerical simulations of black hole spacetimes.
Cite
@article{arxiv.1111.6019,
title = {Constructing "non-Kerrness" on compact domains},
author = {Thomas Bäckdahl and Juan A. Valiente Kroon},
journal= {arXiv preprint arXiv:1111.6019},
year = {2012}
}
Comments
10 pages