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A relativistic generalisation of rigid motions

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Abstract

A weaker substitute for the too restrictive class of Born-rigid motions is proposed, which we call radar-holonomic motions. The definition is expressed as a set of differential equations. Integrability conditions and Cauchy problem are studied. We finally obtain an example of a radar-holonomic congruence containing a given worldline with a given value of the rotation on this line.

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Authors and Affiliations

  1. Dept. Física Fonamental, Universitat de Barcelona, Barcelona, Spain

    J. Llosa & A. Molina

  2. Mechanical and Industrial Production Dept., Mondragon Unibertsitatea, Mondragon, Spain

    D. Soler

Authors
  1. J. Llosa
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  2. A. Molina
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  3. D. Soler
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Correspondence to A. Molina.

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Llosa, J., Molina, A. & Soler, D. A relativistic generalisation of rigid motions. Gen Relativ Gravit 44, 1657–1675 (2012). https://doi.org/10.1007/s10714-012-1363-2

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  • DOI: https://doi.org/10.1007/s10714-012-1363-2

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