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A relativistic generalisation of rigid motions

General Relativity and Quantum Cosmology 2017-11-22 v1 Mathematical Physics math.MP

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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Cite

@article{arxiv.1103.4475,
  title  = {A relativistic generalisation of rigid motions},
  author = {J Llosa and A Molina and D Soler},
  journal= {arXiv preprint arXiv:1103.4475},
  year   = {2017}
}

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19 pages