Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2022, Volume 18, Issue 3, Pages 316–327
DOI: https://doi.org/10.21638/11701/spbu10.2022.302
(Mi vspui537)
 

This article is cited in 1 scientific paper (total in 1 paper)

Applied mathematics

On the determination of spacetime geometry

O. I. Drivotin

St Petersburg State University, 7-9, Universitetskaya nab., St Petersburg, 199034, Russian Federation
Full-text PDF (416 kB) Citations (1)
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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.
Received: May 5, 2022
Accepted: June 21, 2022
Bibliographic databases:
Document Type: Article
UDC: 514.82:531.11
MSC: 51P05, 83A05, 83C99
Language: Russian
Citation: O. I. Drivotin, “On the determination of spacetime geometry”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 18:3 (2022), 316–327
Citation in format AMSBIB
\Bibitem{Dri22}
\by O.~I.~Drivotin
\paper On the determination of spacetime geometry
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2022
\vol 18
\issue 3
\pages 316--327
\mathnet{http://mi.mathnet.ru/vspui537}
\crossref{https://doi.org/10.21638/11701/spbu10.2022.302}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4555548}
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  • https://www.mathnet.ru/eng/vspui/v18/i3/p316
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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    Abstract page:66
    Full-text PDF :9
    References:15
    First page:6
     
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