A relativistic generalisation of rigid motions

Details A relativistic generalisation of rigid motions A relativistic generalisation of rigid motions

2011-03-23

arxiv.org/abs/1103.4475v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages

Scientific paper

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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