J L Jaramillo and E Gourgoulhon 2007 J. Phys.: Conf. Ser. 66 012048 doi:10.1088/1742-6596/66/1/012048
J L Jaramillo1 and E Gourgoulhon2
Show affiliationsStarting from the 3+1 description of a dynamical horizon, i.e. a world-tube of marginally trapped surfaces of increasing area, we discuss a set of inner boundary conditions to be imposed on a black hole space-time in generic evolution. These boundary conditions are particularly useful when employing an excision technique in a constrained evolution scheme for the numerical resolution of Einstein equations, namely with the excised surface coinciding with the black hole (apparent) horizon. Special attention is devoted to the relation between the foliation uniqueness theorems of a dynamical horizon, and the optimal choice of the lapse function on the horizon.
04.70.-s Physics of black holes
04.20.Gz Spacetime topology, causal structure, spinor structure
04.20.Ex Initial value problem, existence and uniqueness of solutions
Issue 1 (2007)
J L Jaramillo and E Gourgoulhon 2007 J. Phys.: Conf. Ser. 66 012048
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