Spin-perturbed orbits near black holes

2019/03/08 by Vojtěch Witzany, Witzany, Vojtěch · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1903.03649

openalex publication_date 2019/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Inspirals of rotating stellar-mass compact objects into massive black holes are influenced by the spin-curvature coupling, which drives the compact body away from geodesic motion due to its rotation. I formulate the Hamilton-Jacobi equation for a spinning test body orbiting a Kerr black hole, solve it to linear order in spin, and use the perturbative solution to compute the fundamental frequencies of motion along the orbit. This result provides one of the necessary ingredients for waveform models for the upcoming space-based gravitational-wave detector LISA.

Cited by

• Post-adiabatic waveforms from extreme mass ratio inspirals in the presence of dark matter

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