LRS Bianchi Type II Tilted Stiff Fluid Model with Heat Conduction in General Relativity

Abstract

Locally Rotationally Symmetric (LRS) Bianchi Type II tilted stiff fluid model with heat conduction in General Relativity is investigated. To get the deterministic solution in terms of cosmic time t, we have assumed the stiff fluid condition (r=p), r being matter density p the isotropic pressure and a supplementary condition R = Sⁿ between metric potentials R and S where n is a constant. The model starts with a big bang at T=1/(sqrt beta) and the expansion decreases as time increases. The model in general represent non-tilted one. Since the deceleration parameter q > 0, hence the model represents decelerating phase of universe. The model has point type singularity at T = 0.