The next-to-leading spin-orbit effects on the general motions in Kerr spacetime. (21st May 2021)

• Record Type: Journal Article
• Authors: Yang, Bo; He, Guansheng; Lin, Wenbin
• Is Part Of: Physica scripta. Volume 96:Number 8(2021)
• Publication Date: 2021-05-21
• Subjects: Kerr spacetime -- Spin-orbit effects -- post-Newtonian approximation -- quasi-Keplerian equation; Physics -- Periodicals; 530.05
• DOI: 10.1088/1402-4896/abfe86
• Languages: English
• ISSNs: 0031-8949

Abstract

Abstract: We derive the second-and-half post-Newtonian solution for the generally inclined motion of a test particle in Kerr spacetime when the effects of the spin-induced quadrupole are negligible. The next-to-leading order spin-orbit effects on the test particle's motion are obtained, which are important in fitting the motions of the extremely-mass-ratio-inspiral systems and also calculating the gravitational wave radiated by this kind of systems at the second-and-half post-Newtonian order.