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

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

2011-04-27

arxiv.org/abs/1104.5205v1

Class.Quant.Grav.28:177001,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/28/17/177001

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.

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