Anisotropic Bianchi type-I models with constant deceleration parameter in general relativity

Details Anisotropic Bianchi type-I models with constant deceleration parameter in general relativity Anisotropic Bianchi type-I models with constant deceleration parameter in general relativity

Nov 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007ap%26ss.312...57k&link_type=abstract

Astrophysics and Space Science, Volume 312, Issue 1-2, pp. 57-62

Mathematics

Logic

33

Hubble&Rsquo, S Parameter, Deceleration Parameter, Cosmological Models, Bianchi Space-Time

Scientific paper

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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