The least action principle in general relativity theory

M. V. Gorbatenko

Federal State Unitary Enterprise 'Russian Federal Nuclear Center — All-Russian Research Institute of Experimental Physics'

Abstract: In the framework of general relativity theory, the Einstein equations are obtained using a modified procedure, i. e. by introducing a congruence of timelike curves in the Riemann space and taking into account the relation between the variations. The aim is to satisfy the least action principle with respect to any frame of reference.

Received: 07.10.1997
Revised: 08.01.1998

DOI: 10.4213/tmf875

 English version: Theoretical and Mathematical Physics, 1998, 115:2, 607–611

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