Cosmological constant in the Bianchi type-I-modified Brans-Dicke cosmology |
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Authors: | A K Azad J N Islam |
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Institution: | (1) Research Centre for Mathematical and Physical Sciences, Chittagong University, Bangladesh |
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Abstract: | 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
φ 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 Λ(φ). 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. |
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Keywords: | Cosmology cosmological constant modified Brans-Dicke cosmology |
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