Mathematics – Logic
Scientific paper
Jan 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003prama..60...21a&link_type=abstract
Pramana, vol. 60, Issue 1, p.21
Mathematics
Logic
1
Cosmology, Cosmological Constant, Modified Brans--Dicke Cosmology.
Scientific paper
In 1961, Brans and Dicke [1] provided an interesting alternative to general relativity based on Mach's principle. To understand the reasons leading to their field equations, we first consider homogeneous and isotropic cosmological models in the Brans-Dicke theory. Accordingly we start with the Robertson-Walker line element and the energy tensor of a perfect fluid. The scalar field phi is now a function of the cosmic time only. Then we consider spatially homogeneous and anisotropic Bianchi type-I-cosmological solutions of modified Brans-Dicke theory containing barotropic fluid. These have been obtained by imposing a condition on the cosmological parameter La(phi). Again we try to focus the meaning of this cosmological term and to relate it to the time coordinate which gives us a collapse singularity or the initial singularity. On the other hand, our solution is a generalization of the solution found by Singh and Singh [2]. As far as we are aware, such solution has not been given earlier.
Azad Abul K.
Islam Jamal N.
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