Abstract
A model for the universe based on the back-reaction effects of quantum fields at finite temperature in the background of Robertson-Walker spacetime and in the presence of a non-zero cosmological constant is constructed. We discuss the vacuum regime in the light of the results obtained through previous studies of the back-reaction of massless quantum fields in the static Einstein universe, and we argue that an adiabatic vacuum state and thermal equilibrium is achieved throughout this regime. Critical density is maintained naturally from the very early stages as a consequence of back-reaction effect of the vacuum fluctuations of quantum fields. Results show that such a model can explain many features of the early universe as well as the present universe. The model is free from the basic problems of the standard Friedmann cosmology, and is non-singular but involves a continuous creation of energy at a rate proportional to the size of the universe, which is lower than that suggested by the steady-state cosmology.
Similar content being viewed by others
References
Bennett, C.L., et al.: Astrophys. J. Suppl. 148, 1 (2003)
Spergel, D.N., et al.: Astrophys. J. Suppl. 170, 377 (2007)
Dunkley, J., et al.: Astrophys. J. Suppl. 180, 306–329 (2009)
Guth, A.: Phys. Rev. D 23, 347 (1981)
Liddle, A.: Class. Quantum Gravity 19, 3391–3401 (2003)
Hollands, S., Wald, R.: Gen. Relativ. Gravit. 34, 2043–2055 (2002)
Turok, N.: Class. Quantum Gravity 19, 3449–3467 (2002)
Ozer, M., Taha, A.: Nucl. Phys. B 287, 776–796 (1987)
Chen, W., Wu, Y.S.: Phys. Rev. D 41, 695 (1990)
Altaie, M.B.: Phys. Rev. D 65, 044028 (2002)
Ellis, G.F.R., Murugan, J., Tsagas, C.G.: Class. Quantum Gravity 21, 233 (2004)
Altaie, M.B., Setari, M.R.: Phys. Rev. D 67, 044018 (2003)
Corvero, J.M.: Gen. Relativ. Gravit. 10, 503–508 (1979)
Altaie, M.B.: Class. Quantum Gravity 20, 331–340 (2003)
Altaie, M.B., Ahmad, U.: arXiv:0907.3457v1 [gr-qc]
Coleman, S.: Phys. Rev. D 15, 2929 (1977)
Vilenkin, A.: Phys. Rev. D 30, 509 (1984). Rapid Communication
Kennedy, G.: J. Phys. A 11, L77 (1978)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Altaie, M.B., al-Ahmad, U. A Non-Singular Universe with Vacuum Energy. Int J Theor Phys 50, 3521–3528 (2011). https://doi.org/10.1007/s10773-011-0860-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-011-0860-5