CORRESPONDENCE BETWEEN TEST- AND EFFECTIVE-PARTICLE EQUATIONS OF MOTIONIN RELATIVISTIC GRAVITATIONAL TWO-BODY PROBLEM

Fizika B (Zagreb)

S. B. FARUQUE¹ 

关键词: test-particle;    effective-particle;    two-body problem;    relativisticgravitation;   

DOI  :  

学科分类：物理（综合）

来源: Fizika B: a journal of experimental and theoretical physics

【 摘 要 】

The correspondence between the test- and effective-particle equations of motion of anon-relativistic gravitational two-body system is well understood. But the same is nottrue for a relativistic two-body system. This is because the effective one-body approachto a relativistic two-body problem is not yet fully elucidated. Among the known twoeffective one-body approaches to relativistic two-body problem, we follow up the oneaddressed through a constraint Hamiltonian. We investigate the correspondence of theresulting effective one-body equation of motion with the geodetical equation of motion ofa test body in the Schwarzschild field. Next, we extend the two-body problem by endowing aspin to the central body, and examine again the correspondence between the effectiveone-body equations of motion of such a problem with the test-body description. Inparticular, we show the relation between the Carters equations of geodetical motion inthe Kerr field with the equations indicated by the effective one-body approach of thetwo-body problem. In both the Schwarzschild and the Kerr fields, we determine the locationof the innermost stable circular orbit (ISCO), which is an important key for the study ofastrophysical binary stars. Subsequently, we examine the correspondence between the ISCOin the test-particle orbit and in the effective-particle orbit.

【 授权许可】

Unknown