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arXiv 1611.03476gr-qc
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f(R,T)引力中的宇宙凌日和各向异性模型

Cosmic Transit and Anisotropic Models in f(R,T) Gravity

S K Sahu, S K Tripathy, P K Sahoo, A Nath

摘要:

在各向异性的Bianchi III型宇宙背景下,在被称为$f(R,T)$引力的修正引力理论中构建了加速宇宙学模型。$f(R,T)$是里奇标量$R$和能量动量张量的迹$T$的函数,它取代了广义相对论的爱因斯坦-希尔伯特作用量中的里奇标量。模型构造为两种不同的方式修改的爱因斯坦-希尔伯特作用。通过一种新的积分方法获得了场方程的精确解。我们探索了宇宙从膨胀的减速阶段到加速阶段的过渡行为,以获得宇宙的动力学特征。在本工作的形式主义,它被发现,修改的Einstein-Hilbert作用量不影响的标度因子。然而,有效的暗能量状态方程的动力学显着影响。

英文摘要:

Accelerating cosmological models are constructed in a modified gravity theory dubbed as $f(R,T)$ gravity at the backdrop of an anisotropic Bianchi type-III universe. $f(R,T)$ is a function of the Ricci scalar $R$ and the trace $T$ of the energy-momentum tensor and it replaces the Ricci scalar in the Einstein-Hilbert action of General Relativity. The models are constructed for two different ways of modification of the Einstein-Hilbert action. Exact solutions of the field equations are obtained by a novel method of integration. We have explored the behaviour of the cosmic transit from an decelerated phase of expansion to an accelerated phase to get the dynamical features of the universe. Within the formalism of the present work, it is found that, the modification of the Einstein-Hilbert action does not affect the scale factor. However the dynamics of the effective dark energy equation of state is significantly affected.

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