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Jacobi Fields and Tidal Effects in Kerr Spacetime

2021/03/21 by Carmen Chicone, Chicone, Carmen, Bahram Mashhoon +1
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #Gamma-ray bursts and supernovae #General Relativity and Quantum Cosmology (gr-qc) #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.48550/arxiv.2103.11340

27 pages, 5 figures

arxiv created 2021/03/21 · openalex publication_date 2021/03/21 · arxiv updated 2021/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

General relativistic tidal equations are formulated with respect to the rest frame of a central gravitational source described by the Kerr gravitational field. Specifically, observers that are spatially at rest in the exterior Kerr spacetime are considered in detail; in effect, these fiducial observers define the rest frame of the Kerr source. The generalized Jacobi equation for the free motion of a test particle is worked out within the Fermi coordinate system established along the world line of a fiducial observer at rest on the symmetry axis of the exterior Kerr background. The nature of the solutions of these equations are investigated in connection with the phenomena associated with astrophysical jets.

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