Complementarity of Kinematics and Geometry in General Relativity Theory

Abstract

Relations between kinematics, geometry and law of reference frame motion are considered. We show, that kinematical tensors define geometry up to a space functional arbitrariness when integrability condition for spin tensor is satisfied. Some aspects of geometrization principle and geometrical conventionalism of Poincare are discussed in a light of the obtained results.

The paper is developed version of talk, presented at the conference RusGrav-2010 (June 2010, Moscow), submitted to GRG

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