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Hamilton-Jacobi equation for spinning particles near black holes

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arxiv 1903.03651 v2 pith:A56HKPNH submitted 2019-03-08 gr-qc

Hamilton-Jacobi equation for spinning particles near black holes

classification gr-qc
keywords blackequationfinite-sizehamilton-jacobiholeslisamodelsmotion
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A compact stellar-mass object inspiralling onto a massive black hole deviates from geodesic motion due to radiation-reaction forces as well as finite-size effects. Such post-geodesic deviations need to be included with sufficient precision into wave-form models for the upcoming space-based gravitational-wave detector LISA. I present the formulation and solution of the Hamilton-Jacobi equation of geodesics near Kerr black holes perturbed by the so-called spin-curvature coupling, the leading order finite-size effect. In return, this solution allows to compute a number of observables such as the turning points of the orbits as well as the fundamental frequencies of motion. This result provides one of the necessary ingredients for waveform models for LISA and an important contribution useful for the relativistic two-body problem in general.

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Cited by 14 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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