Abstract:
The gravitational field of an expanding shelf matched in a continuously differentiable manner at its boundaries is obtained in the linear approximation of the relativistic theory of gravitation. Analysis of the second approximation of the problem indicates that there is convergence of the employed expansion with respect to the gravitational constant.
Citation:
A. A. Vlasov, O. V. Monovsky, “The problem of an expanding shell in the relativistic theory of gravitation”, TMF, 91:2 (1992), 334–345; Theoret. and Math. Phys., 91:2 (1992), 561–569
\Bibitem{VlaMon92}
\by A.~A.~Vlasov, O.~V.~Monovsky
\paper The problem of an expanding shell in the relativistic theory of gravitation
\jour TMF
\yr 1992
\vol 91
\issue 2
\pages 334--345
\mathnet{http://mi.mathnet.ru/tmf5581}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1182543}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 91
\issue 2
\pages 561--569
\crossref{https://doi.org/10.1007/BF01018854}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992KG55600011}
Linking options:
https://www.mathnet.ru/eng/tmf5581
https://www.mathnet.ru/eng/tmf/v91/i2/p334
This publication is cited in the following 2 articles:
O. V. Monovsky, “The equation of motion of the spherically symmetric shell in relativistic gravitational theory”, Theoret. and Math. Phys., 107:2 (1996), 698–705
A. A. Vlasov, “Gravitational field of expanding spherically symmetric shell in RTG in linear velocity approximation”, Theoret. and Math. Phys., 108:1 (1996), 912–915