A Note on the Coordinate Freedom in Describing the Motion of Particles in General Relativity

Abstract

Our previous work developed a framework for treating the motion of a small body in general relativity, based on a one-parameter-family of solutions to Einstein's equation. Here we give an analysis of the coordinate freedom allowed within this framework, as is needed to determine the form of the equations of motion when they are expressed in general gauges.

References in corpus (1)

• A Rigorous Derivation of Gravitational Self-force

Cited by in corpus (5)

• Second Order Gravitational Self-Force
• Gravitational self-force from radiation-gauge metric perturbations
• Self-force via $m$-mode regularization and 2+1D evolution: III. Gravitational field on Schwarzschild spacetime
• High-order expansions of the Detweiler-Whiting singular field in Schwarzschild spacetime
• Gauge and Averaging in Gravitational Self-force