Geodesic
Casimir effect at nonzero temperature in closed Friedmann Universe
Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 2, pp. 307-320 Cet article a éte moissonné depuis la source Math-Net.Ru

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We investigate the finite-size effects upon the free energy of massive and massless scalar field with arbitrary coupling to gravity at nonzero temperature in a slowly evolving closed Friedmann Universe. The renormalized free energy and the resulting energy density and pressure are found and their physical consequence are discussed. The equation of state turns out to have the form $P=\rho/3$ for radiation with arbitrary coupling. 
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     author = {A. Zhuk and H. Kleinert},
     title = {Casimir effect at nonzero temperature in closed {Friedmann} {Universe}},
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A. Zhuk; H. Kleinert. Casimir effect at nonzero temperature in closed Friedmann Universe. Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 2, pp. 307-320. http://geodesic.mathdoc.fr/item/TMF_1996_109_2_a10/

[1] H. B. G. Casimir, Proc. K. Ned. Akad. Wet., 51 (1948), 793 ; Physica, 19 (1953), 846–849 | Zbl | DOI

[2] G. Plunien, B. Müler, W. Greiner, Phys. Rep., 134 (1986), 87–193 | DOI | MR

[3] V. M. Mostepanenko, N. N. Trunov, UFN, 156 (1988), 385–426 ; В. М. Мостепаненко, Н. Н. Трунов, Эффект Казимира и его приложения, Энергоатомиздат, М., 1990 | DOI | MR

[4] S. G. Mamaev, V. M. Mostepanenko, A. A. Starobinskii, ZhETF, 70 (1976), 1577–1591

[5] A. A. Grib, S. G. Mamaev, V. M. Mostepanenko, Vakuumnye kvantovye effekty v silnykh polyakh, Energoatomizdat, M., 1988

[6] N. D. Birrell, P. S. W. Davies, Quantum Fields in Curved Space, Cambridge University Press, Cambridge, 1982 | MR | Zbl

[7] G. Cognola, K. Kirsten, S. Zerbini, Phys. Rev., D48 (1993), 790–799 | MR

[8] S. Bayin, M. Özcan, Phys. Rev., D48 (1993), 2806–2812

[9] L. H. Ford, Phys. Rev., D11 (1975), 3370–3377

[10] S. G. Mamaev, V. M. Mostepanenko, Proceedings of the Third Seminar on Quantum Gravity, World Scientific, Singapore, 1985, 462 | MR

[11] Kh. Kleinert, A. Zhuk, TMF, 108:3 (1996), 482–496 | DOI | MR | Zbl

[12] R. Feinman, A. Khibs, Kvantovaya mekhanika i integraly po traektoriyam, Mir, M., 1968 | MR

[13] H. Kleinert, Path Integrals in Quantum Mechanics, Statistics and Polymer Physics, Sec. ed., World Scientific, Singapore, 1995 | MR

[14] J. S. Dowker, R. Critchley, Phys. Rev., D15 (1977), 1484

[15] M. Fierz, Helv. Phys. Acta, 33 (1960), 855–858 | MR

[16] J. Mehra, Physica, 37 (1967), 145–152 | DOI

[17] J. Schwinger, L. L. DeRaad, K. A. Milton, Annals of Physics, 115 (1978), 1–23 | DOI | MR

[18] R. Balian, B. Duplantier, Annals of Physics, 112 (1978), 165–208 | DOI | MR

[19] D. Lohiya, Gravitation, Gauge Theories and the Early Universe, Kluwer Academic Publishers, Dordrecht, 1989, 315 | DOI

[20] P. Candelas, S. Weinberg, Nucl. Phys., B237 (1984), 397–441 ; U. Bleyer, A. Zhuk, Class. Quant. Grav., 12 (1995), 89–100 | DOI | MR | DOI | MR

[21] U. H. Gerlach, U. K. Sengupta, Phys. Rev., D18 (1978), 1773–1784 | MR

[22] E. M. Lifshitz, I. M. Khalatnikov, Adv. Phys., 12 (1963), 185–249 | DOI | MR

[23] A. Erdélyi et al. (eds.), Higher Transcendental Functions, V. 1, McGraw-Hill, N.Y., 1953

[24] C. W. Misner, K. S. Torne, J. A. Wheeler, Gravitation, Freeman, San Francisco, 1973 | MR