Geodesic
Dependence of the vacuum expectation values of the energy-momentum tensor on the geometry and topology of the manifold
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 3, pp. 345-354 
S. G. Mamaev; N. N. Trunov. Dependence of the vacuum expectation values of the energy-momentum tensor on the geometry and topology of the manifold. Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 3, pp. 345-354. http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a5/
@article{TMF_1979_38_3_a5,
     author = {S. G. Mamaev and N. N. Trunov},
     title = {Dependence of the vacuum expectation values of the energy-momentum tensor on the geometry and topology of the manifold},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {345--354},
     year = {1979},
     volume = {38},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a5/}
}
TY  - JOUR
AU  - S. G. Mamaev
AU  - N. N. Trunov
TI  - Dependence of the vacuum expectation values of the energy-momentum tensor on the geometry and topology of the manifold
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1979
SP  - 345
EP  - 354
VL  - 38
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a5/
LA  - ru
ID  - TMF_1979_38_3_a5
ER  - 
%0 Journal Article
%A S. G. Mamaev
%A N. N. Trunov
%T Dependence of the vacuum expectation values of the energy-momentum tensor on the geometry and topology of the manifold
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1979
%P 345-354
%V 38
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a5/
%G ru
%F TMF_1979_38_3_a5

Voir la notice de l'article provenant de la source Math-Net.Ru

The vacuum expectation values of the energy-momentum tensor of the scalar field and electromagnetic field are calculated in bounded volumes of different configurations and topologies. The behavior of the sign of the energy density is studied as a function of the characteristic sizes for certain configurations.

[1] B. DeWitt, Phys. Rep., 19C (1975), 297

[2] L. Ford, Phys. Rev., D12 (1975), 2963 ; 14 (1976), 3304 | MR | DOI

[3] A. A. Starobinsky, Proc. “Marcel Grossman” Relativity Meeting, Trieste, 1975

[4] S. G. Mamaev, V. M. Mostepanenko, A. A. Starobinskii, ZhETF, 70 (1976), 1577

[5] J. S. Dowker, R. Critchley, J. Phys., A9 (1975), 535 | MR

[6] T. S. Bunch, P. C. W. Davies, Proc. Roy. Soc., A357 (1977), 381 | DOI | MR

[7] H. B. C. Casimir, Proc. Nederl. Acad. Wetensch., 60 (1948), 793

[8] M. J. Sparnaay, Physica, 24 (1958), 751 ; D. Tabor, R. H. S. Winterton, Proc. Roy. Soc., A312 (1969), 435 | DOI | DOI

[9] T. Boyer, Phys. Rev., 174 (1968), 1764 ; 185 (1969), 2039 | DOI | DOI

[10] B. Davies, J. Math. Phys., 13 (1972), 1324 | DOI

[11] E. M. Lifshits, ZhETF, 29 (1955), 94

[12] N. A. Chernikov, E. A. Tagirov, Ann. Inst. H. Poincaré, 9 (1968), 109 | MR | Zbl

[13] C. G. Callan, S. Coleman, R. Jakiw, Ann. Phys., 59 (1970), 42 | DOI | MR | Zbl

[14] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii, t. 1, «Nauka», 1971, str. 38 | MR

[15] M. V. Fedoryuk, Metod perevala, «Nauka», 1977 | MR