2007/02/28 by Katsuhiko Ganz, K. Ganz, W. Hikida +7 · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Pulsars and Gravitational Waves Research #gr-qc
paper · pdf · doi:10.1143/ptp.117.1041
published as Prog.Theor.Phys.117:1041-1066,2007 · 26pages, to be published in Progress of Theoretical Physics
arxiv created 2007/05/31 · crossref issued 2007/06/01 · crossref published 2007/06/01 · crossref published-print 2007/06/01 · openalex publication_date 2007/06/01 · crossref created 2007/08/10 · arxiv updated 2011/08/04 · crossref deposited 2017/08/24 · openalex created_date 2025/10/10 · crossref indexed 2026/07/30 · openalex updated_date 2026/07/30
General orbits of a particle of small mass μ around a Kerr black hole of mass M are characterized by three parameters: the energy, the angular momentum and the Carter constant. The time-averaged rates of change of the energy and the angular momentum can be obtained by computing the corresponding fluxes of gravitational waves emitted by the particle. By contrast, the time-averaged rate of change of the Carter constant cannot be expressed as a flux of gravitational waves. Recently a method to compute this rate of change was proposed by Mino, and we refined it into a simplified form. In this paper we further extend our previous work to give a new formulation without the aid of expansion in terms of a small inclination angle.