Black hole initial data on hyperboloidal slices

Abstract

We generalize Bowen-York black hole initial data to hyperboloidal constant mean curvature slices which extend to future null infinity. We solve this initial value problem numerically for several cases, including unequal mass binary black holes with spins and boosts. The singularity at null infinity in the Hamiltonian constraint associated with a constant mean curvature hypersurface does not pose any particular difficulties. The inner boundaries of our slices are minimal surfaces. Trumpet configurations are explored both analytically and numerically.

version for publication in Phys. Rev. D

References in corpus (17)

• Binary-black-hole initial data with nearly-extremal spins
• Hyperboloidal foliations and scri-fixing
• Geometry and Regularity of Moving Punctures
• Circular orbits and spin in black-hole initial data
• Wormholes and trumpets: the Schwarzschild spacetime for the moving-puncture generation
• Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equations
• Testing outer boundary treatments for the Einstein equations
• Hyperboloidal evolution with the Einstein equations
• Regularity of the Einstein Equations at Future Null Infinity
• Dealing with delicate issues in waveforms calculations
• Implementation of higher-order absorbing boundary conditions for the Einstein equations
• Towards absorbing outer boundaries in General Relativity
• Constraint-preserving boundary treatment for a harmonic formulation of the Einstein equations
• Outer boundary conditions for Einstein's field equations in harmonic coordinates
• The general spherically symmetric constant mean curvature foliations of the Schwarzschild solution
• Approximate initial data for binary black holes
• Stationary hyperboloidal slicings with evolved gauge conditions