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arXiv · 1103.4475

A relativistic generalisation of rigid motions

J Llosa·A Molina·D Soler
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Abstract

Radar-holonomic congruences of wordlines are proposed as a weaker substitute for the too restrictive class of Born-rigid motions. The definition is expressed as a set of differential equations. Integrability conditions and Cauchy data 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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J Llosa, A Molina, D Soler. 2011-03-23. A relativistic generalisation of rigid motions. https://doi.org/10.1007/s10714-012-1363-2

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