Abstract
The Casimir energy is calculated in theories of R2 gravitation and conformai gravitation in the space R1 x T3, where T3 is a 3D torus. Cosmological applications of the results are discussed.
Similar content being viewed by others
Literature cited
H. B. G. Casimir, Proc. Kon. Ned. Acad. Wet.,51, 793 (1948); E. M. Lifshits, Zh. Eksp. Fiz., 29, 94 (1955).
Yu. S. Barash and V. L. Ginzburg, Usp. Fiz. Nauk,116, 5 (1975).
B. S. De Witt, Phys. Repts.,19C, 297 (1975).
A. A. Grib, S. G. Mamaev, and V. M. Mostepanenko, Quantum Effects in Intense External Fields [in Russian], Atomizdat, Moscow (1980).
L. H. Ford, Phys. Rev.,D11, 3370 (1975); B. S. Kay, Phys. Rev.,D20, 3052 (1979); J. R. Ruggiero, A. Villani, and A. H. Zimmerman, J. Phys.,A13, 761 (1980).
Yu. P. Goncharov, Phys. Lett.,91A, 153 (1982);119B, 403.
O. Abe, Prog. Theor. Phys.,72, 1225 (1984).
N. A. Voronov and Ya. I. Kogan, Pis'ma Zh. Eksp. Teor. Fiz.,38, 262 (1983); P. Candelas and E. Winberg, Nucl. Phys.,B237, 397 (1984).
T. Applequist and A. Chodos, Phys. Rev.,28D, 772 (1983); Nguen Van Hieu, Preprint E2-85-134, Joint Institute for Nuclear Research, 1985.
V. G. Bagrov, I. L. Bukhbinder, and S. D. Odintsov, Yad. Fiz., No. A, 1192 (1987).
E. S. Fradkin and A. A. Tseytlin, Nucl. Phys.,B201, A69 (1982).
E. S. Fradkin and A. A. Tseytlin, Phys. Rep.,119, 233 (1985).
E. S. Fradkin and A. A. Tseytlin, Phys. Lett.,134B, 187 (1984).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 59–62, June, 1989.
I whish to thank I. L. Bukhbinder for useful discussions.
Rights and permissions
About this article
Cite this article
Odintsov, S.D. Casimir effect in quantized R2 gravitation. Soviet Physics Journal 32, 458–461 (1989). https://doi.org/10.1007/BF00898631
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00898631