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

By Samuel E. Gralla and Robert M. Wald

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

Topics: General Relativity and Quantum Cosmology
Year: 2011
DOI identifier: 10.1088/0264-9381/28/17/177001
OAI identifier: oai:arXiv.org:1104.5205
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