Scattering of two spinning black holes in post-Minkowskian gravity, to all orders in spin, and effective-one-body mappings
By J. Vines. 2017
248 citations recorded by the source corpus.
We demonstrate equivalences, under simple mappings, between the dynamics of three distinct systems—(i) an arbitrary-mass-ratio two-spinning-black-hole system, (ii) a spinning test black hole in a background Kerr spacetime, and (iii) geodesic motion in Kerr—when each is considered in the first post-Minkowskian (1PM) approximation to general relativity, i.e. to linear order G but to all orders in 1/c, and to all orders in the black holes’ spins, with all orders in the multipole expansions of their linearized gravitational fields. This is accomplished via computations of the net results of weak gravitational scattering encounters between two spinning black holes, namely the net O(G) changes in the holes’ momenta and spins as functions of the incoming state. The results are given in remarkably simple closed forms, found by solving effective Mathisson–Papapetrou–Dixon-type equations of motion for a spinning black hole in conjunction with the linearized Einstein equation, with appropriate matching to the Kerr solution. The scattering results fully encode the gauge-invariant content of a canonical Hamiltonian governing binary-black-hole dynamics at 1PM order, for generic (unbound and bound) orbits and spin orientations. We deduce one such Hamiltonian, which reproduces and resums the 1PM parts of all such previous post-Newtonian results, and which directly manifests the equivalences with the test-body limits via simple effective-one-body mappings.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/15cb50cd61061407ef484cf141e6c97673b95d6e
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Citations in the corpus
- Scattering of spinning black holes from exponentiated soft factors (2018, methodology): “Here we will show that the natural extension of the scattering angle, for aligned spins as in [32, 40], can be computed with spinning particles directly from the LS.”
- Spinning black hole binary dynamics, scattering amplitudes, and effective field theory (2020, methodology): “Last but not least, we will see that, for suitably-chosen couplings, the gravitational stress tensor derived from our Lagrangian reproduces (in the classical limit) that of the Kerr black hole, derived in [58].”
- Classical and quantum scattering in post-Minkowskian gravity (2019, background): “[45] has shown how to transcribe within the EOB formalism the 1PM gravitational interaction of spinning bodies at all orders in the spins (see also [46]); (iii) Ref.”