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Reference frames and rigid motions in relativity

J Llosa1 and D Soler2

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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 which are rigid, have free mobility and can be derived as a slight deformation of the radar metric, is demonstrated.


PACS

04.20.Cv Fundamental problems and general formalism

02.40.Hw Classical differential geometry

02.40.Ky Riemannian geometries

MSC

83Cxx General relativity

Subjects

Mathematical physics

Gravitation and cosmology

Dates

Issue 13 (7 July 2004)

Received 10 December 2003

Published 3 June 2004



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