On the Equation of Motion for a Fast Moving Small Object in the Strong Field Point Particle Limit

Abstract

We give a straightforward and divergence free derivation of the equation of motion for a small but finite object in an arbitrary background using strong field point particle limit. The resulting equation becomes a generalized geodesic for a non-rotating spherical object which is consisitent with previous studies.

arXiv commentaccepted by Progress of Theoretical Physics

References in corpus (3)

• Gravitational Radiation Reaction to a Particle Motion
• An axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime
• Equation of motion for relativistic compact binaries with the strong field point particle limit : the second and half post-Newtonian order

Cited by in corpus (4)

• The motion of point particles in curved spacetime
• The self-consistent gravitational self-force
• Singular perturbation techniques in the gravitational self-force problem
• Third-and-a-half order post-Newtonian equations of motion for relativistic compact binaries using the strong field point particle limit