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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 107, Number 2, Pages 344–352
DOI: https://doi.org/10.4213/tmf1160
(Mi tmf1160)
 

The equation of motion of the spherically symmetric shell in relativistic gravitational theory

O. V. Monovsky

M. V. Lomonosov Moscow State University
References:
Abstract: The equation of motion of the singular spherically symmetric shell is found and integrated with accuracy to the first order of the Newton potential U=m/r. The energy-momentum conservation laws, one for matter in effective curved space-time and the other for both matter and gravitational field in Minkowski space-time are used independently. These methods appear to be equivalent to the classical formalism of singular hypersyrfaces suggested.
Received: 03.05.1995
English version:
Theoretical and Mathematical Physics, 1996, Volume 107, Issue 2, Pages 698–705
DOI: https://doi.org/10.1007/BF02071382
Bibliographic databases:
Language: Russian
Citation: O. V. Monovsky, “The equation of motion of the spherically symmetric shell in relativistic gravitational theory”, TMF, 107:2 (1996), 344–352; Theoret. and Math. Phys., 107:2 (1996), 698–705
Citation in format AMSBIB
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\by O.~V.~Monovsky
\paper The equation of motion of the spherically symmetric shell in relativistic gravitational theory
\jour TMF
\yr 1996
\vol 107
\issue 2
\pages 344--352
\mathnet{http://mi.mathnet.ru/tmf1160}
\crossref{https://doi.org/10.4213/tmf1160}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1406560}
\zmath{https://zbmath.org/?q=an:0923.53036}
\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 107
\issue 2
\pages 698--705
\crossref{https://doi.org/10.1007/BF02071382}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996WG90100014}
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  • https://www.mathnet.ru/eng/tmf1160
  • https://doi.org/10.4213/tmf1160
  • https://www.mathnet.ru/eng/tmf/v107/i2/p344
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:43
    First page:1
     
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