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Reference frames and rigid motions in relativity

J Llosa et al 2004 Class. Quantum Grav. 21 3067-3094   doi: 10.1088/0264-9381/21/13/001  Help

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J Llosa1 and D Soler2
1 Departament de Física Fonamental, Universitat de Barcelona, Martí i Franquès, 1, E-08028 Barcelona, Spain
2 Oinarritzko Zientziak Saila, Goi Eskola Politeknikoa, Mondragon Unibersitatea, Spain
E-mail: pitu.llosa@ub.edu

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

PACS numbers: 04.20.Cv, 02.40.Hw, 02.40.Ky

Print publication: Issue 13 (7 July 2004)
Received 10 December 2003
Published 3 June 2004

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