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

José Luis Jaramillo, Eric Gourgoulhon, and Guillermo A. Mena Marugán
Phys. Rev. D 70, 124036 – Published 30 December 2004

Abstract

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.

  • Received 16 July 2004

DOI:https://doi.org/10.1103/PhysRevD.70.124036

©2004 American Physical Society

Authors & Affiliations

José Luis Jaramillo* and Eric Gourgoulhon

  • Laboratoire de l’Univers et de ses Théories, UMR 8102 du CNRS, Observatoire de Paris, F-92195 Meudon Cedex, France

Guillermo A. Mena Marugán

  • Instituto de Estructura de la Materia, Centro de Física Miguel A. Catalán, CSIC, Serrano 121, 28006 Madrid, Spain

  • *Electronic address: jose-luis.jaramillo@obspm.fr
  • Electronic address: eric.gourgoulhon@obspm.fr
  • Electronic address: mena@iem.cfmac.csic.es

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Issue

Vol. 70, Iss. 12 — 15 December 2004

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