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Anisotropic Bianchi Type-III Bulk Viscous Fluid Universe in Lyra Geometry

机译:天琴几何中的各向异性Bianchi III型大体积粘性流体宇宙

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An anisotropic Bianchi type-III cosmological model is investigated in the presence of a bulk viscous fluid within the framework of Lyra geometry with time-dependent displacement vector. It is shown that the field equations are solvable for any arbitrary function of a scale factor. To get the deterministic model of the universe, we have assumed that (i) a simple power-law form of a scale factor and (ii) the bulk viscosity coefficient are proportional to the energy density of the matter. The exact solutions of the Einstein’s field equations are obtained which represent an expanding, shearing, and decelerating model of the universe. Some physical and kinematical behaviors of the cosmological model are briefly discussed.
机译:在具有时间依赖位移向量的Lyra几何框架内,在存在大量粘性流体的情况下,研究了各向异性的Bianchi III型宇宙学模型。结果表明,场方程对于比例因子的任何任意函数都是可解的。为了获得宇宙的确定性模型,我们假设(i)比例因子的简单幂律形式,以及(ii)本体粘度系数与物质的能量密度成比例。获得了爱因斯坦场方程的精确解,它们代表了宇宙的扩展,剪切和减速模型。简要讨论了宇宙学模型的一些物理和运动学行为。

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