Quasi-equilibrium Binary Black Hole Initial Data for Dynamical Evolutions

Details Quasi-equilibrium Binary Black Hole Initial Data for Dynamical Evolutions Quasi-equilibrium Binary Black Hole Initial Data for Dynamical Evolutions

2004-06-04

arxiv.org/abs/gr-qc/0406020v2

Phys.Rev. D70 (2004) 084033; Erratum-ibid. D70 (2004) 089904

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 6 figures, some new references and minor changes, accepted for publication in PRD

Scientific paper

10.1103/PhysRevD.70.084033

We present a formalism for constructing quasi-equilibrium binary black hole initial data suitable for numerical evolution. We construct quasi-equilibrium models by imposing an approximate helical Killing symmetry appropriate for quasi-circular orbits. We use the sum of two Kerr-Schild metrics as our background metric, thereby improving on conformally flat backgrounds that do not accommodate rotating black holes and providing a horizon-penetrating lapse, convenient for implementing black hole excision. We set inner boundary conditions at an excision radius well inside the apparent horizon and construct these boundary conditions to incorporate the quasi-equilibrium condition and recover the solution for isolated black holes in the limit of large separation. We use our formalism both to generate initial data for binary black hole evolutions and to construct a crude quasi-equilibrium, inspiral sequence for binary black holes of fixed irreducible mass.

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