Inner boundary conditions for black hole initial data derived from isolated horizons

Journal Article · Wed Dec 15 00:00:00 EST 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.124036· OSTI ID:20698274

Jaramillo, Jose Luis; Gourgoulhon, Eric; Marugan, Guillermo A. Mena ^[1]

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1. Laboratoire de l'Univers et de ses Theories, UMR 8102 du CNRS, Observatoire de Paris, F-92195 Meudon Cedex (France)

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.

• OSTI ID: 20698274
• Journal Information: Physical Review. D, Particles Fields, Vol. 70, Issue 12; Other Information: DOI: 10.1103/PhysRevD.70.124036; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
BOUNDARY CONDITIONS
COSMOLOGY
EQUILIBRIUM
SPACE-TIME