Testing the Boundary-to-Bound Correspondence with Numerical Relativity

Abstract

The Boundary-to-Bound (B2B) correspondence, which connects orbital and radiative observables between bound and unbound orbits, has recently been introduced and demonstrated in the perturbative regime. We produce a large number of numerical relativity simulations of bound and unbound encounters between two nonspinning equal mass black holes in order to test this correspondence in the non-perturbative regime. We focus on testing the radiated energy and angular momentum, as well as orbital parameters such as the period and periastron advance. We find that, across a wide range of eccentricities, the B2B relationships do not hold in the non-perturbative regime, thereby placing a clear limit on the applicability of these relationships. We also approximate the separatrix between bound and unbound relativistic encounters as a function of their initial energies and angular momenta.

published in PRD

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Cited by in corpus (6)

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• Scattering and dynamical capture of two black holes: synergies between numerical and analytical methods
• Highly accurate simulations of asymmetric black-hole scattering and cross validation of effective-one-body models
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• Black-hole scattering with numerical relativity: Self-force extraction and post-Minkowskian validation
• Parameter control for binary black hole initial data