Abstract
The effect of a time-dependent cosmological constant is considered in a family of scalar-tensor theories. The Bianchi type I, III, V, VIo and Kantowski-Sachs models for vacuum and perfect fluid matter are found. The gravitational constant decreases with time so that these models satisfy the Dirac hypothesis. The “cosmological constant” also decreases with time, therefore it can have a very small value at the present time.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Beesham, A.: Gen. Relativ. Gravit. 26, 159 (1994)
Carvalho, J.C., Lima, J.A.S., Waga, I.: Phys. Rev. D 46, 2404 (1992)
Capozzielo, S., de Ritis, R.: A time dependent cosmological constant. arXiv:astro-ph/9605070 (1996)
Diaz-Rivera, L.M., Pimentel, L.O.: Phys. Rev. D 60, 123501 (1999)
Diaz-Rivera, L.M., Pimentel, L.O.: Int. J. Mod. Phys. A 18, 651 (2003)
Kalligas, D., Wesson, P., Everitt, C.W.F.: Gen. Relativ. Gravit. 24, 351 (1992)
Kalligas, D., Wesson, P., Everitt, C.W.F.: Gen. Relativ. Gravit. 27, 645 (1995)
Matyjasek, J.: Phys. Rev. D 51, 4154 (1995)
Moffat, J.W.: Phys. Lett. B 357, 526 (1995)
Ng, Y.J.: Int. J. Mod. Phys. 1, 145 (1992)
Özer, M., Taha, M.O.: Mod. Phys. Lett. A 13, 571 (1998)
Overduin, J., Cooperstock, F.: Phys. Rev. D 58, 043506 (1998)
Pimentel, L.O., Diaz-Rivera, L.M.: Int. J. Mod. Phys. A 14, 1523 (1999)
Silveira, V., Waga, I.: Phys. Rev. D 50, 4890 (1994)
Weinberg, S.: Rev. Mod. Phys. 61, 1 (1989)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Singh, T., Chaubey, R. Bianchi type- I, III, V, VIo and Kantowski-Sachs models in scalar-tensor theories with dynamic cosmological constant. Astrophys Space Sci 318, 231–236 (2008). https://doi.org/10.1007/s10509-008-9917-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-008-9917-1