Gyroscope precession along unbound equatorial plane orbits around a Kerr black hole

2016/10/20 by Donato Bini, Andrea Geralico, Robert T. Jantzen
Mathematics · Physics and Astronomy · #Angular momentum #Apsidal precession #Astronomy #Astrophysical Phenomena and Observations #Astrophysics #Black Holes and Theoretical Physics #Black hole (networking) #Circular orbit #Classical mechanics #General relativity #Geometry #Gravitation #Gyroscope #Kerr metric #Mathematics #Orbital plane #Physics #Plane (geometry) #Precession #Pulsars and Gravitational Waves Research #Quantum mechanics #Rotating black hole #Schwarzschild metric #Schwarzschild radius #gr-qc

paper · pdf · doi:10.1103/physrevd.94.124002

published as Phys. Rev. D 94, 124002 (2016) · 16 pages, 8 figures, revtex macros used

arxiv created 2016/10/20 · openalex publication_date 2016/12/02 · arxiv updated 2016/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The precession of a test gyroscope along unbound equatorial plane geodesic orbits around a Kerr black hole is analyzed with respect to a static reference frame whose axes point towards the ``fixed stars.'' The accumulated precession angle after a complete scattering process is evaluated and compared with the corresponding change in the orbital angle. Limiting results for the nonrotating Schwarzschild black hole case are also discussed.

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