Bulk Viscous Higher Dimensional FRW Cosmological Model with Variable Gravitational Constant and Cosmological Constant in General Relativity

Reena Behal, Harpreet Kaur, D. P. Shukla

Abstract: In this paper we study higher dimensional homogeneous and isotropic FRW viscous cosmological model with variable G and. We obtain solutions of the field equations assuming that the cosmological term is proportional to H2 (where H is a Hubble constant) and bulk viscosity proportional to H. From equation (19), we conclude that as t then R. Implies due to bulk viscosity the model has no singularity and universe is accelerating if A=0. Recent observational data (Knop et al. [70]; Riess et al. [71, 72]; Spergel et al. [73]; Tegmark et al. [74]; Perlmutter et al. [75] strongly suggest this acceleration occurs. Finally, the solutions presented in the paper are new and useful for a better understanding of the evolution of the universe in F-R-W space-time with variable G and.

Keywords: F-R-W Cosmological model, Hubble Constants, Gravitational Constant and Cosmological Constants