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

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Cited by in corpus (24)

• A template bank for gravitational waveforms from coalescing binary black holes: non-spinning binaries
• Reducing orbital eccentricity in binary black hole simulations
• Accurate Effective-One-Body waveforms of inspiralling and coalescing black-hole binaries
• Foundations of multiple black hole evolutions
• Quasiequilibrium black hole-neutron star binaries in general relativity
• Black hole merger simulations in wave dark matter environments
• Lessons for adaptive mesh refinement in numerical relativity
• Numerical evolution of multiple black holes with accurate initial data
• A Reinvestigation of Moving Punctured Black Holes with a New Code
• Quasi-Local Linear Momentum in Black-Hole Binaries
• Relativistic hydrodynamics in the presence of puncture black holes
• Black hole initial data on hyperboloidal slices
• Trumpet-puncture initial data for black holes
• Initial data for general relativistic simulations of multiple electrically charged black holes with linear and angular momenta
• Binary black hole evolutions of approximate puncture initial data
• A hp-adaptive discontinuous Galerkin solver for elliptic equations in numerical relativity
• Deformation of horizons during a merger
• Tidal deformations of spinning black holes in Bowen-York initial data
• Equilibrium initial data for moving puncture simulations: The stationary 1+log slicing
• Basics of Apparent Horizons in Black Hole Physics
• Approximate analytical description of apparent horizons for initial data with momentum and spin
• Analytical Tendex and Vortex Fields for Perturbative Black Hole Initial Data
• Perturbative solution of the Einstein Constraints with Spin and Momentum Far Away From a Binary Source in the Bowen-York formalism
• Perturbative Analytical Construction of Bowen-York Initial Data for Binary Black Holes up to Third Order in Spin and Linear Momentum