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Kumar, Suresh; Singh, C. P.

An exact Bianchi type-I cosmological model in Lyra’s manifold. (English) Zbl 1151.83314

Int. J. Mod. Phys. A 23, No. 6, 813-822 (2008).
Summary: A spatially homogeneous and anisotropic Bianchi type-I space-time has been studied within the framework of Lyra’s geometry. Exact solutions of the Einstein’s field equations have been obtained with a time dependent gauge function by using a special law of variation for Hubble’s parameter that yields a constant value of deceleration parameter. It has been found that the solutions generalize the solutions obtained by F. Rahaman et al. [Astrophys. Space Sci. 299, 211 (2005)] and are consistent with the recent observations of type Ia supernovae. A detailed study of physical and kinematical properties of the model has been carried out.

Cited in 18 Documents

MSC:

83C20 Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory
83F05 Relativistic cosmology

Keywords:

Bianchi-type models; cosmology; deceleration parameter; Lyra’s geometry
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\textit{S. Kumar} and \textit{C. P. Singh}, Int. J. Mod. Phys. A 23, No. 6, 813--822 (2008; Zbl 1151.83314)
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