2019/06/12 by Maarten van de Meent
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Classical mechanics #Decoupling (probability) #Equations of motion #Geodesic #Interpretation (philosophy) #Mathematical analysis #Mathematical physics #Motion (physics) #Parallel transport #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Spacetime #Spin (aerodynamics) #Theoretical physics #gr-qc
paper · pdf · doi:10.1088/1361-6382/ab79d5
arxiv created 2019/06/12 · openalex publication_date 2020/02/26 · arxiv updated 2020/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Abstract We provide analytical closed form solutions for the parallel transport along a bound geodesic in Kerr spacetime. This can be considered the lowest order approximation for the motion of a spinning black hole in an extreme mass-ratio inspiral. As an illustration of the usefulness of our new found expressions we scope out the locations of spin–spin resonances in quasi-circular EMRIs. All solutions are given as functions of Mino time, which facilitates the decoupling of the equations of motion. To help physical interpretation, we also provide an analytical expression for the proper time along a geodesic as a function of Mino time.