Constructing ``nonKerrness'' on compact domains
Abstract
Given a compact domain of a 3dimensional hypersurface on a vacuum spacetime, a scalar (the "nonKerrness") 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.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 April 2012
 DOI:
 10.1063/1.3702569
 arXiv:
 arXiv:1111.6019
 Bibcode:
 2012JMP....53d2503B
 Keywords:

 04.70.s;
 02.60.Lj;
 04.20.q;
 04.20.Gz;
 Physics of black holes;
 Ordinary and partial differential equations;
 boundary value problems;
 Classical general relativity;
 Spacetime topology causal structure spinor structure;
 General Relativity and Quantum Cosmology;
 83C15;
 83C20;
 83C57;
 83C60
 EPrint:
 10 pages