Inner boundary conditions for black hole Initial Data derived from Isolated Horizons

Details Inner boundary conditions for black hole Initial Data derived from Isolated Horizons Inner boundary conditions for black hole Initial Data derived from Isolated Horizons

2004-07-16

arxiv.org/abs/gr-qc/0407063v2

Phys.Rev. D70 (2004) 124036

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages. Major general revision. Section V comparing with previous approaches restructured; discussion on the lapse boundary

Scientific paper

10.1103/PhysRevD.70.124036

We present a set of boundary conditions for solving the elliptic equations in the Initial Data Problem for space-times containing a black hole, together with a number of constraints to be satisfied by the otherwise freely specifiable standard parameters of the Conformal Thin Sandwich formulation. These conditions altogether are sufficient for the construction of a horizon that is instantaneously in equilibrium in the sense of the Isolated Horizons formalism. We then investigate the application of these conditions to the Initial Data Problem of binary black holes and discuss the relation of our analysis with other proposals that exist in the literature.

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