Binary-black-hole initial data with nearly-extremal spins

Abstract

There is a significant possibility that astrophysical black holes with nearly-extremal spins exist. Numerical simulations of such systems require suitable initial data. In this paper, we examine three methods of constructing binary-black-hole initial data, focusing on their ability to generate black holes with nearly-extremal spins: (i) Bowen-York initial data, including standard puncture data (based on conformal flatness and Bowen-York extrinsic curvature), (ii) standard quasi-equilibrium initial data (based on the extended-conformal-thin-sandwich equations, conformal flatness, and maximal slicing), and (iii) quasi-equilibrium data based on the superposition of Kerr-Schild metrics. We find that the two conformally-flat methods (i) and (ii) perform similarly, with spins up to about 0.99 obtainable at the initial time. However, in an evolution, we expect the spin to quickly relax to a significantly smaller value around 0.93 as the initial geometry relaxes. For quasi-equilibrium superposed Kerr-Schild (SKS) data [method (iii)], we construct initial data with \emph{initial} spins as large as 0.9997. We evolve SKS data sets with spins of 0.93 and 0.97 and find that the spin drops by only a few parts in 10^4 during the initial relaxation; therefore, we expect that SKS initial data will allow evolutions of binary black holes with relaxed spins above 0.99. [Abstract abbreviated; full abstract also mentions several secondary results.]

References in corpus (19)

• Supermassive recoil velocities for binary black-hole mergers with antialigned spins
• Reducing orbital eccentricity in binary black hole simulations
• Spin Flips and Precession in Black-Hole-Binary Mergers
• Exploring black hole superkicks
• High-spin binary black hole mergers
• Anatomy of the binary black hole recoil: A multipolar analysis
• Modeling kicks from the merger of non-precessing black-hole binaries
• Binary Black Holes: Spin Dynamics and Gravitational Recoil
• Initial data for black hole-neutron star binaries: a flexible, high-accuracy spectral method
• Extra-Large Remnant Recoil Velocities and Spins from Near-Extremal-Bowen-York-Spin Black-Hole Binaries
• Approximate Killing Vectors on S^2
• Extremality conditions for isolated and dynamical horizons
• Multipolar analysis of spinning binaries
• Asymptotics and Hamiltonians in a First order formalism
• Black hole puncture initial data with realistic gravitational wave content
• Beyond the Bowen-York extrinsic curvature for spinning black holes
• Recoiling from a kick in the head-on collision of spinning black holes
• Non-uniqueness in conformal formulations of the Einstein constraints
• Quasi--local angular momentum of non--symmetric isolated and dynamical horizons from the conformal decomposition of the metric

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• Reducing spurious gravitational radiation in binary-black-hole simulations by using conformally curved initial data
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