Note on equatorial geodesics in circular spacetimes

2020/07/21 by Karim Van Aelst, K Van Aelst
Physics and Astronomy · #Black Holes and Theoretical Physics #Circular orbit #Cosmology and Gravitation Theories #Geodesic #Pulsars and Gravitational Waves Research #Reflection (computer programming) #Solving the geodesic equations #gr-qc

paper · pdf · doi:10.1088/1361-6382/aba80c

published as Class. Quantum Grav. 37 207001 (2020) · 18 pages, 5 figures, version published in CQG

openalex publication_date 2020/07/21 · openalex created_date 2020/07/29 · arxiv created 2021/03/02 · arxiv updated 2021/03/03 · openalex updated_date 2026/08/05

Abstract

Abstract General results on equatorial geodesics are exposed in the case of circular spacetimes featuring an equatorial reflection symmetry. The way the geodesic equation equivalently rewrites in terms of an effective potential is explicitly recalled for circular and non-circular equatorial geodesics. This provides a practical tool to discuss their stability. Statements are illustrated in Kerr spacetime.

Citations

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