Abstract
In General Relativity a body is said to be rigid when it suffers no deformations, namely when the relative acceleration of any pair of its neighbouring elements vanishes identically. Here we apply this criterion to a system orbiting a Schwarzschild and Kerr black hole and calculate the strains which the body has to sustain in order to avoid deformation. We then discuss the relations between our results and the physical measurements which can be performed in orbiting frames and find that the only measurement of strains leads to ambiguous information.
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de Felice, F., Usseglio-Tomasset, S. Strains and rigidity in black-hole fields. Gen Relat Gravit 28, 179–192 (1996). https://doi.org/10.1007/BF02105422
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DOI: https://doi.org/10.1007/BF02105422