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Reference frames and rigid motions in relativity

J. Llosa, D. Soler

gr-qcarXiv:gr-qc/0305085

Abstract

A reference frame consists of: a reference space, a time scale and a spatial metric. The geometric structure induced by these objects in spacetime is developed. The existence of a class of spatial metrics that are rigid, have free mobility and can be derived as a slight deformation of the radar metric, is shown.

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