Abstract
Exact solutions of the semi-classical Einstein equations for conformally invariant free quantum fields in an homogeneous and isotropic space-time, with cosmological constant and containing a classical scalar field, dust matter, an unquantised Dirac field and electromagnetic radiation are found. The initial behaviour of the semiclassical models is investigated. Some of the solutions found avoid the singularity and do not have particle horizons.
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References
Albrecht, A. and Steinhardt, P.I.: 1982, Phys. Rev. Lett. 48, 1220.
Anderson, P.: 1983, Phys. Rev. D28, 271.
Anderson, P.: 1984, Phys. Rev. D29, 615.
Anderson, P.: 1986, Phys. Rev. D33, 1567.
Barrow, J.D. and Ottewill, A.C.: 1983, J. Phys. A: Math. Gen. 16, 2757.
Barut, A.O. and Duru, I.H.: 1987, Phys. Rev. D36, 3705.
Birrel, N.D. and Davies, P.C.W.: 1982, Quantum Fields in Curved Spacetime, Cambridge University Press, Cambridge.
Brout, R., Englert, F. and Spindel, P.: 1978, Phys. Rev. Lett. 43, 417.
Brout, R., Englert, F., Frere, J.M., Gunzig, E., Nardone, P. and Truffin, C.: 1980, Nucl. Phys. B170, 228.
Brown, L.S. and Cassidy, J.P.: 1977, Phys. Rev. D15, 2810.
Bunch, T.S. and Davies, P.C.W.: 1977, Proc. Roy. Soc. A356, 569.
Chimento, L.P.: 1988, Class. Quantum Grav. 5, 1137.
Chimento, L.P.: 1989, Class. Quantum Grav. 6, 1285.
Chimento, L.P.: 1990, Class. Quantum Grav. 7, 813.
Chimento, L.P.: 1993, Gen. Relativ. Gravitation 25, 979.
Chimento, L.P.: 1994, Astrophys. Space Sci. 218, 59.
Chimento, L.P., Jakubi, A.S. and Pensa, F.G.: 1990, Class. Quantum Grav. 7, 1561.
Chimento, L.P. and Pensa, F.G.: 1990, Phys. Rev. D42, 1098.
Chimento, L.P. and Zuccalá, N.A.: 1993, Astrophys. Space Sci. 201, 341.
Chimento, L.P. and Zuccalá, N.A.: 1994, Astrophys. Space Sci. 215, 229.
Chimento, L.P. and Alé, M.G.: 1995, Class. Quantum Grav. 12, 101.
Davies, P.C.W.: 1977, Ann. Phys. 109, 108.
Davis, T.M. and Ray, J.R.: 1974, Phys. Rev. D9, 331.
Davis, T.M. and Ray, J.R.: 1975, J. Math. Phys. 16, 75.
Duff, M.J.: 1977, Nucl. Phys. B125, 334.
Guth, A.H.: 1981, Phys. Rev. D23, 347.
Hawking, S. and Ellis, G.: 1973, Large Scale Structure of Spacetime, Cambridge University Press, Cambridge.
Hartle, J.B. and Horowitz, G.T.: 1981, Phys. Rev. D24, 257.
Isham, C.J. and Nelson, J.E.: 1974, Phys. Rev. D10, 3226.
Linde, A.D.: 1982, Phys. Lett. 108B, 389.
Mijic, M.B., Morris, M.S. and Suen, W.M.: 1986, Phys. Rev. D34, 2934.
Silk, J. and Turner, M.S.: 1987, Phys. Rev. D35, 419.
Spindel, P.: 1988, Phys. Rev. D37, 2092.
Starobinsky, A.A.: 1980, Phys. Lett. 91B, 99.
Vilenkin, A.: 1985, Phys. Rev. D32, 2940.
Wada, S.: 1985, Phys. Rev. D31, 2470.
Weinberg, S.: 1972, Gravitation and Cosmology. Principles and Applications of the General Theory of Relativity, Wiley.
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Chimento, L.P., Zuccalá, N.A. Semi-Classical Cosmological Models with Scalar, Dirac and Electromagnetic Fields. Astrophysics and Space Science 254, 37–49 (1997). https://doi.org/10.1023/A:1000728002592
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DOI: https://doi.org/10.1023/A:1000728002592