Marginally stable circular orbits in stationary axisymmetric spacetimes

作     者：Shabnam Beheshti Edgar Gasperín 

作者机构：School of Mathematical Sciences Queen Mary University of London Mile End Road London E1 4NS United Kingdom 

出 版 物：《Physical Review D》 (物理学评论D辑：粒子、场、重力与宇宙学)

年 卷 期：2016年第94卷第2期

页      面：024015-024015页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：Consejo Nacional de Ciencia y Tecnonologia (CONACyT Scholarship) [494039/218141] London Mathematical Society [GCY 13-14 02] 

主　　题：Astrophysical studies of gravity Classical black holes General relativity equations & solutions Accretion disk & black-hole plasma Test-particle methods 

摘      要：We derive necessary and sufficient conditions for the existence of marginally stable circular orbits (MSCOs) of test particles in a stationary axisymmetric (SAS) spacetime which possesses a reflection symmetry with respect to the equatorial plane; photon orbits and marginally bound orbits (MBOs) are also addressed. Energy and angular momentum are shown to decouple from metric quantities, rendering a purely geometric characterization of circular orbits for this general class of metrics. The subsequent system is analyzed using resultants, providing an algorithmic approach for finding MSCO conditions. MSCOs, photon orbits and MBOs are explicitly calculated for concrete examples of physical interest.