Assessing the Energetics of Spinning Binary Black Hole Systems

Abstract

In this work we study the dynamics of spinning binary black hole systems in the strong field regime. For this purpose we extract from numerical relativity simulations the binding energy, specific orbital angular momentum, and gauge-invariant orbital frequency. The goal of our work is threefold: First, we extract the individual spin contributions to the binding energy, in particular the spin-orbit, spin-spin, and cubic-in-spin terms. Second, we compare our results with predictions from waveform models and find that while post-Newtonian approximants are not capable of representing the dynamics during the last few orbits before merger, there is good agreement between our data and effective-one-body approximants as well as the numerical relativity surrogate models. Finally, we present phenomenological representations for the binding energy for non-spinning systems with mass ratios up to $q=10$ and for the spin-orbit interaction for mass ratios up to $q=8$ obtaining accuracies of $\lesssim 0.1\%$ and $\lesssim 6\%$, respectively.

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Cited by in corpus (20)

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• Hierarchical mergers of stellar-mass black holes and their gravitational-wave signatures
• Energetics of two-body Hamiltonians in post-Minkowskian gravity
• Laying the foundation of the effective-one-body waveform models SEOBNRv5: improved accuracy and efficiency for spinning non-precessing binary black holes
• The Science of the Einstein Telescope
• A Multipolar Effective One Body Model for Non-Spinning Black Hole Binaries
• Enhancing the SEOBNRv5 effective-one-body waveform model with second-order gravitational self-force fluxes
• Rush the inspiral: efficient Effective One Body time-domain gravitational waveforms
• Defining eccentricity for gravitational wave astronomy
• Gravitational spin-orbit coupling through third-subleading post-Newtonian order: from first-order self-force to arbitrary mass ratios
• Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics
• Gravitational spin-orbit and aligned spin${}_1$-spin${}_2$ couplings through third-subleading post-Newtonian orders
• Quasi-circular inspirals and plunges from non-spinning effective-one-body Hamiltonians with gravitational self-force information
• Eccentric binary black holes: Comparing numerical relativity and small mass-ratio perturbation theory
• Fourth post-Newtonian effective-one-body Hamiltonians with generic spins
• Gravitational waveforms for high spin and high mass-ratio binary black holes: A synergistic use of numerical-relativity codes
• Gravitational spin-orbit dynamics at the fifth-and-a-half post-Newtonian order
• Mapping Parameter Correlations in Spinning Binary Black Hole Mergers
• Waveforms and fluxes: Towards a self-consistent effective one body waveform model for nonprecessing, coalescing black-hole binaries for third generation detectors
• Energetics and scattering of gravitational two-body systems at fourth post-Minkowskian order