Anisotropic Bianchi type-I models with constant deceleration parameter in general relativity |
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| Authors: | Suresh Kumar C P Singh |
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| Institution: | (1) Department of Applied Mathematics, Delhi College of Engineering, Bawana Road, 110 042 Delhi, India |
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| Abstract: | A special law of variation for Hubble’s parameter is presented in a spatially homogeneous and anisotropic Bianchi type-I space-time
that yields a constant value of deceleration parameter. Using the law of variation for Hubble’s parameter, exact solutions
of Einstein’s field equations are obtained for Bianchi-I space-time filled with perfect fluid in two different cases where
the universe exhibits power-law and exponential expansion. It is found that the solutions are consistent with the recent observations
of type Ia supernovae. A detailed study of physical and kinematical properties of the models is carried out. |
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| Keywords: | Hubble’ s parameter Deceleration parameter Cosmological models Bianchi space-time |
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