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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 101, Number 3, Pages 450–457 (Mi tmf1701)  
Casimir effect in nonstationary regions with Friedmann metric

K. S. Mamaeva

St. Petersburg State University of Economics and Finance
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Abstract: A study is made of the two-dimensional problem of finding the energy-momentum tensor of a scalar massless field with symmetric nonstationary boundary conditions in the case of a nonstationary Friedmann metric. A combined method is proposed for regularizing the energy-momentum tensor – point splitting and Abel–Plana summation. A method is proposed for determining the wave functions and energy-momentum tensor when boundary conditions are specified on characteristics. The solution of these problems in two-dimensional spacetime makes it possible to obtain explicit expressions for the energy-momentum tensor.
Received: 12.08.1993
English version:
Theoretical and Mathematical Physics, 1994, Volume 101, Issue 3, Pages 1479–1484
DOI: https://doi.org/10.1007/BF01035470
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Language: Russian
Citation: K. S. Mamaeva, “Casimir effect in nonstationary regions with Friedmann metric”, TMF, 101:3 (1994), 450–457; Theoret. and Math. Phys., 101:3 (1994), 1479–1484
Citation in format AMSBIB
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\by K.~S.~Mamaeva
\paper Casimir effect in nonstationary regions with Friedmann metric
\jour TMF
\yr 1994
\vol 101
\issue 3
\pages 450--457
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1348613}
\zmath{https://zbmath.org/?q=an:0852.53073}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 101
\issue 3
\pages 1479--1484
\crossref{https://doi.org/10.1007/BF01035470}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994RG57000013}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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