Abstract
We propose a three-dimensional formulation of the relativistic kinematics of a solid medium based on the geometric concept of the forms of relativistic dynamics. We introduce the concepts of instantaneous configuration of a body, the velocity field, and different measures of deformations and the deformation velocity tensor. We consider the definition of rigid motion in a given form of dynamics. We study the transformation properties of the kinematic characteristics introduced and also those of the quantities that arise under three-dimensional decomposition of the energy-momentum tensor of the medium with respect to the transformations of the Poincaré group with recomputation to a new simultaneity.
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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 35, 1992, pp. 173–178.
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Klyuchkovs'kii, Y.B., Navrots'kii, P.P. Relativistic kinematics of a solid medium in a three-dimensional description. J Math Sci 67, 2986–2992 (1993). https://doi.org/10.1007/BF01095883
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DOI: https://doi.org/10.1007/BF01095883