A simple method of constructing binary black hole initial data

Abstract

By applying a parabolic-hyperbolic formulation of the constraints and superposing Kerr-Schild black holes, a simple method is introduced to initialize time evolution of binary systems. As the input parameters are essentially the same as those used in the post-Newtonian (PN) setup the proposed method interrelates various physical expressions applied in PN and in fully relativistic formulations. The global ADM charges are also determined by the input parameters, and no use of boundary conditions in the strong field regime is made.

Substantial simplification of the main argument. Supplemental material available at http://www.kfki.hu/~iracz/SM-BH-data.pdf

References in corpus (5)

• Binary-black-hole initial data with nearly-extremal spins
• Reducing spurious gravitational radiation in binary-black-hole simulations by using conformally curved initial data
• Improvements to the construction of binary black hole initial data
• Construction of N-body initial data sets in general relativity
• Constraints as evolutionary systems

Cited by in corpus (5)

• Junction Conditions and local Spacetimes in General Relativity
• Construction of high precision numerical single and binary black hole initial data
• On the evolutionary form of the constraints in electrodynamics
• Black hole initial data by numerical integration of the parabolic-hyperbolic form of the constraints
• Can we prescribe the physical parameters of multiple black holes?