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Free keywords:
General Relativity and Quantum Cosmology, gr-qc,
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.
