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Conference Papers Year : 2014

On the definition of a reference frame and the associated space in a general spacetime

Abstract

A reference frame F can be defined as an equivalence class of spacetime charts (coordinate systems) having a common domain U and exchanging by a spatial coordinate change. The associated physical space is made of the world lines having constant space coordinates in any chart of the class. This is a local definition. The data of a global 4-velocity field v defines a global ''reference fluid". The associated global physical space is made of the maximal integral curves of that vector field. Assume that the local and global spaces correspond with the same three-dimensional network of observers. In that case, the local space can be identified with a part (an open subset) of the global space.
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Dates and versions

hal-00910924 , version 1 (28-11-2013)

Identifiers

  • HAL Id : hal-00910924 , version 1

Cite

Mayeul Arminjon. On the definition of a reference frame and the associated space in a general spacetime. Proceedings of the Journées 2013 "Systèmes de Référence Spatio-Temporels", Nicole Capitaine, Sep 2013, Ecole Normale Supérieure, Paris, France. pp. 36-37. ⟨hal-00910924⟩
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