Abstract
A tilted cosmological model is studied for a barotropic fluid distribution with heat conduction in the framework of a compact Bianchi Type II space-time. To get a deterministic solution in terms of cosmic time t, we have used the supplementary condition R = S n between the metric potentials R and S, where n is a constant. The shear tensor σ ij for the tilted model satisfies the trace-free condition σ ij v j = 0, where v i is the fluid velocity vector. In a special case, the model becomes non-tilted. The heat conduction vector q i also satisfies the trace-free condition q i v i = 0. The spatial volume increases as time increases, and the model represents an inflationary scenario. The model for a barotropic fluid distribution represents decelerating and accelerating phases of the universe, matching with the astronomical observations. Anisotropy is maintained throughout, but in a special case the model isotropizes. The particle horizon and entropy are discussed. We have also discussed the stiff fluid case with physical and geometrical aspects of the models.
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Bali, R., Kumawat, P. LRS Bianchi Type II tilted barotropic fluid cosmological model with heat conduction in general relativity. Gravit. Cosmol. 21, 77–82 (2015). https://doi.org/10.1134/S0202289315010028
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DOI: https://doi.org/10.1134/S0202289315010028