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A cosmological model with negative constant deceleration parameter in a general scalar-tensor theory of gravitation. (English) Zbl 1252.83120
Summary: A spatially homogeneous and anisotropic LRS Bianchi type-I metric is considered in the framework of Nordtvedt-Barker’s general scalar-tensor theory of gravitation when the source for the energy momentum tensor is a perfect fluid. With the help of a special law of variation for Hubble’s parameter proposed by M. S. Bermann [“A special law of variation for Hubble’s parameter”, Nuovo Cimento, XI. Ser. B 74, 182–186 (1983; doi:10.1007/BF02721676)], a cosmological model with negative constant deceleration parameter is obtained. Some physical and kinematical properties of the model are also discussed.
MSC:
83F05Relativistic cosmology
83C15Closed form solutions of equations in general relativity
83D05Relativistic gravitational theories other than Einstein’s
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