• VOLUMETRIC EXPANSION OF RADIATING VISCOUS DARK ENERGY MODEL WITH TIME DEPENDENT GRAVITATIONAL AND COSMOLOGICAL CONSTANTS

R. S. RANE, G. C. BHAGAT*

Abstract


In the present investigation the study of homogeneous anisotropic Bianchi type-I cosmological model with time-dependent gravitational and cosmological constants has been presented in the framework of Lyra geometry. Exact solutions of the Einstein field equations are presented towards the law of variation of Hubble parameter that yields a constant value of deceleration parameter. It has been found that the general solution of the average scale factor is a function of time involved the power law function. The analysis of the derived model shows that, for the cosmological constant and gravitational constant are opposite in nature to each other i.e.  Cosmological constant decreases whereas the Newtonian gravitational constant increases with time whereas the model become isotropic at late time. Some dynamical and kinematical quantities of the model have been calculated analytically.


Keywords


Bianchi type-I model; gravitational and cosmological constants; Lyra geometry.

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