Trapping Horizons as inner boundary conditions for black hole spacetimes

Details Trapping Horizons as inner boundary conditions for black hole spacetimes Trapping Horizons as inner boundary conditions for black hole spacetimes

2007-09-18

arxiv.org/abs/0709.2842v1

Phys.Rev.D77:047501,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, no figures, RevTeX4

Scientific paper

10.1103/PhysRevD.77.047501

We present a set of inner boundary conditions for the numerical construction of dynamical black hole space-times, when employing a 3+1 constrained evolution scheme and an excision technique. These inner boundary conditions are heuristically motivated by the dynamical trapping horizon framework and are enforced in an elliptic subsystem of the full Einstein equation. In the stationary limit they reduce to existing isolated horizon boundary conditions. A characteristic analysis completes the discussion of inner boundary conditions for the radiative modes.

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