Original Articles |
|
|
|
|
Spatially Homogeneous Bianchi Type V Cosmological Model in the Scale-Covariant Theory of Gravitation |
Shri Ram, M. K. Verma, Mohd. Zeyauddin |
Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi-2210 05, India |
|
Cite this article: |
Shri Ram, M. K. Verma, Mohd. Zeyauddin 2009 Chin. Phys. Lett. 26 089802 |
|
|
Abstract We discuss spatially homogeneous and anisotropic Bianchi type-V spacetime filled with a perfect fluid in the framework of the scale-covariant theory of gravitation proposed by Canuto et al. By applying the law of variation for Hubble's parameter, exact solutions of the field equations are obtained, which correspond to the model of the universe having a big-bang type singularity at the initial time t=0. The cosmological model, evolving from the initial singularity, expands with power-law expansion and gives essentially an empty space for a large time. The physical and dynamical properties of the model are also discussed.
|
Keywords:
98.80.Jk
95.30.Sf
|
|
Received: 27 February 2009
Published: 30 July 2009
|
|
PACS: |
98.80.Jk
|
(Mathematical and relativistic aspects of cosmology)
|
|
95.30.Sf
|
(Relativity and gravitation)
|
|
|
|
|
[1] Canuto V Hsieh S H and Adams P I 1977 Phys. Rev.Lett. 39 429 [2] Canuto V Adams P I Hsieh S H and Tsiang E 1977 Phys.Rev. D 16 1643 [3] Wesson C M 1980 Gravity Particles and Astrophysics(New York: Reidel) Dordrecht Holland [4] Will C M 1984 Phys. Rep. 113 345 [5] Beesham A 1986 J. Math. Phys. 27 2995 [6] Reddy D R K Naidu R L and Adhav K S 2007 Astrophys.Space Sci. 307 365 [7] Zhu J M and Zhu S C 1986 Chin. Astronom. Astrophys. 10 12 [8] Saha B and Rikhvitsky V 2006 Physica D 219168 [9] Singh T and Chaubey R 2007 Pramana J. Phys. 68721 [10] Singh C P Shri Ram and Zeyauddin M 2008 Astrophys.Space Sci. 315 181 [11] Shri Ram Zeyauddin M and Singh C P 2008 Int. J.Mod. Phys. A 23 1 [12] Shri Ram Zeyauddin M Singh C P 2008 Pramana J.Phys. 72 415 [13] Berman M S 1983 Nuovo Cimento B 74 182 [14] Berman M S and Gomide F M 1988 Gen. Rel. Grav. 20 191 [15] Singh C P and Kumar S 2006 Int. J. Mod. Phys. D 15 409 [16] Kumar S and Singh C P 2007 Astrophys. Space Sci. 312 57 [17] Levit L S 1980 Lett. Nuovo Cimento 29 23 [18] Beesham A 1986 Int. J. Theor.Phys. 25 1265 [19] Sistero R F 1991 Gen. Rel. Grav. 23 1265 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|