Inspiralling, Non-Precessing, Spinning Black Hole Binary Spacetime via Asymptotic Matching

Abstract

We construct a new global, fully analytic, approximate spacetime which accurately describes the dynamics of non-precessing, spinning black hole binaries during the inspiral phase of the relativistic merger process. This approximate solution of the vacuum Einstein's equations can be obtained by asymptotically matching perturbed Kerr solutions near the two black holes to a post-Newtonian metric valid far from the two black holes. This metric is then matched to a post-Minkowskian metric even farther out in the wave zone. The procedure of asymptotic matching is generalized to be valid on all spatial hypersurfaces, instead of a small group of initial hypersurfaces discussed in previous works. This metric is well suited for long term dynamical simulations of spinning black hole binary spacetimes prior to merger, such as studies of circumbinary gas accretion which requires hundreds of binary orbits.

21 pages, 15 figures, revtex 4.1

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Cited by in corpus (17)

• Dynamical Tides in General Relativity: Effective Action and Effective-One-Body Hamiltonian
• Electromagnetic Emission from Supermassive Binary Black Holes Approaching Merger
• Center-of-Mass Equations of Motion and Conserved Integrals of Compact Binary Systems at the Fourth Post-Newtonian Order
• Quasi-Periodic Behavior of Mini-Disks in Binary Black Holes Approaching Merger
• Quasi-Periodicity of Supermassive Binary Black Hole Accretion Approaching Merger
• Circumbinary Disk Accretion into Spinning Black Hole Binaries
• Superposed metric for spinning black hole binaries approaching merger
• GRMHD study of accreting massive black hole binaries in astrophysical environment: a review
• On the origin of the lump in circumbinary discs
• 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
• Eccentric Catastrophes & What To Do With Them
• Comparing an analytical spacetime metric for a merging binary to a fully nonlinear numerical evolution using curvature scalars
• Can we disentangle between the emission of an accretion disc around a single black hole and a circumbinary disc ?
• Electromagnetic variability from circumbinary discs around binary black holes during their post-decoupling epoch
• Gravitational waves or X-ray counterpart? No need to choose