Phys. Rev. D 77, 047501 (2008) [4 pages]Trapping horizons as inner boundary conditions for black hole spacetimesReceived 18 September 2007; published 8 February 2008 We present a set of inner boundary conditions for the numerical construction of dynamical black hole spacetimes, 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.77.047501
DOI:
10.1103/PhysRevD.77.047501
PACS:
04.25.dg, 02.60.Lj, 04.70.Bw
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