The Current Status of Binary Black Hole Simulations in Numerical Relativity

Abstract

Since the breakthroughs in 2005 which have led to long term stable solutions of the binary black hole problem in numerical relativity, much progress has been made. I present here a short summary of the state of the field, including the capabilities of numerical relativity codes, recent physical results obtained from simulations, and improvements to the methods used to evolve and analyse binary black hole spacetimes.

14 pages; minor changes and corrections in response to referees

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Cited by in corpus (48)

• Matching post-Newtonian and numerical relativity waveforms: systematic errors and a new phenomenological model for non-precessing black hole binaries
• Stochastic Gravitational Wave Background from Coalescing Binary Black Holes
• Error-analysis and comparison to analytical models of numerical waveforms produced by the NRAR Collaboration
• Black holes and fundamental fields in Numerical Relativity: initial data construction and evolution of bound states
• Reducing orbital eccentricity of precessing black-hole binaries
• Distinguishing compact binary population synthesis models using gravitational-wave observations of coalescing binary black holes
• The Overlap of Numerical Relativity, Perturbation Theory and Post-Newtonian Theory in the Binary Black Hole Problem
• Importance of cooling in triggering the collapse of hypermassive neutron stars
• The numerical relativity breakthrough for binary black holes
• Next-to-next-to-leading order post-Newtonian linear-in-spin binary Hamiltonians
• Simulations of black-hole binaries with unequal masses or non-precessing spins: accuracy, physical properties, and comparison with post-Newtonian results
• Numerical relativity for D dimensional space-times: head-on collisions of black holes and gravitational wave extraction
• An Introduction to Well-posedness and Free-evolution
• The merger of binary white dwarf-neutron stars: Simulations in full general relativity
• Decoding mode-mixing in black-hole merger ringdown
• Accuracy and effectualness of closed-form, frequency-domain waveforms for non-spinning black hole binaries
• Conservative self-force correction to the innermost stable circular orbit: comparison with multiple post-Newtonian-based methods
• Suitability of post-Newtonian/numerical-relativity hybrid waveforms for gravitational wave detectors
• Spherical harmonic modes of 5.5 post-Newtonian gravitational wave polarizations and associated factorized resummed waveforms for a particle in circular orbit around a Schwarzschild black hol
• Mis-Modelling in Gravitational Wave Astronomy: The Trouble With Templates
• Black holes in a box: towards the numerical evolution of black holes in AdS
• Reliability of complete gravitational waveform models for compact binary coalescences
• Improvements to the construction of binary black hole initial data
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• Head-on collisions of unequal mass black holes in D=5 dimensions
• Precession-tracking coordinates for simulations of compact-object-binaries
• Discontinuous Galerkin method for the spherically reduced BSSN system with second-order operators
• Head-on collisions of binary white dwarf--neutron stars: Simulations in full general relativity
• The slicing dependence of non-spherically symmetric quasi-local horizons in Vaidya Spacetimes
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• Self-force: Computational Strategies
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• Deep Generative Models of Gravitational Waveforms via Conditional Autoencoder
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