Approximate initial data for binary black holes

Abstract

We construct approximate analytical solutions to the constraint equations of general relativity for binary black holes of arbitrary mass ratio in quasicircular orbit. We adopt the puncture method to solve the constraint equations in the transverse-traceless decomposition and consider perturbations of Schwarzschild black holes caused by boosts and the presence of a binary companion. A superposition of these two perturbations then yields approximate, but fully analytic binary black hole initial data that are accurate to first order in the inverse of the binary separation and the square of the black holes' momenta.

13 pages, 4 figures, added comparison to numerical calculations, accepted to PRD

References in corpus (1)

• Introduction to dynamical horizons in numerical relativity

Cited by in corpus (11)

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• Black hole initial data on hyperboloidal slices
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• Binary black hole evolutions of approximate puncture initial data
• Equilibrium initial data for moving puncture simulations: The stationary 1+log slicing