This article is cited in 2 papers

Applied mathematics

On the determination of spacetime geometry

O. I. Drivotin

St Petersburg State University, 7-9, Universitetskaya nab., St Petersburg, 199034, Russian Federation

Abstract: A new approach allowing to determine the metric tensor in various points of the spacetime is proposed. Such approach gives an opportunity to investigate the simultaneity of events not only locally, but also globally, without using of the synchronization procedure, traditionally applied in the theory of the spacetime. On the base of the method of simultaineity determination described in the article, it is possible to construct broad classes of reference frames. As an example, a reference frame is considered, all ovservers of which move with the same arbitrarily changing velocity along some direction.

Keywords: metric tensor, simultaneity, reference frame, accelerated reference frame.

UDC: 514.82:531.11

MSC: 51P05, 83A05, 83C99

Received: May 5, 2022
Accepted: June 21, 2022

DOI: 10.21638/11701/spbu10.2022.302

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