Approximate black hole binary spacetime via asymptotic matching

Abstract

We construct a fully analytic, general relativistic, nonspinning black hole binary spacetime that approximately solves the vacuum Einstein equations everywhere in space and time for black holes sufficiently well separated. The metric is constructed by asymptotically matching perturbed Schwarzschild metrics near each black hole to a two-body post-Newtonian metric far from them, and a two-body post-Minkowskian metric farther still. Asymptotic matching is done without linearizing about a particular time slice, and thus it is valid dynamically and for all times, provided the binary is sufficiently well separated. This approximate global metric can be used for long dynamical evolutions of relativistic magnetohydrodynamical, circumbinary disks around inspiraling supermassive black holes to study a variety of phenomena.

17 pages, 8 figures, 1 table. Appendix added to match published version

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• Electromagnetic Signatures from Supermassive Binary Black Holes Approaching Merger
• Mini-disk accretion onto spinning black hole binaries: quasi-periodicities and outflows
• General purpose ray-tracing and polarized radiative transfer in General Relativity
• Circumbinary Disk Accretion into Spinning Black Hole Binaries
• Black hole binaries and light fields: Gravitational molecules
• Superposed metric for spinning black hole binaries approaching merger
• Resolving the relative influence of strong field spacetime dynamics and MHD on circumbinary disk physics
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• Inspiralling, Non-Precessing, Spinning Black Hole Binary Spacetime via Asymptotic Matching
• GRMHD study of accreting massive black hole binaries in astrophysical environment: a review
• Modeling and detecting resonant tides of exotic compact objects
• Relativistic gas accretion onto supermassive black Hole binaries from inspiral through merger
• Impact of a binary black hole on its outer circumbinary disc
• Spinning, Precessing, Black Hole Binary Spacetime via Asymptotic Matching
• Comparing an analytical spacetime metric for a merging binary to a fully nonlinear numerical evolution using curvature scalars
• Eccentric Catastrophes & What To Do With Them
• Inspiraling black-hole binary spacetimes: Challenges in transitioning from analytical to numerical techniques