Testing the Boundary-to-Bound Correspondence with Numerical Relativity
arxiv(2024)
摘要
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.
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