论文标题

F(R,T)重力中爱因斯坦静态宇宙的不均匀扰动和稳定性分析

Inhomogeneous Perturbations and Stability Analysis of the Einstein Static Universe in f(R,T) Gravity

论文作者

Sharif, M., Waseem, Arfa

论文摘要

本文的目的是在$ f(r,t)$ vertity($ r $和$ r $ and $ t $表示分别表示压力 - 能量张量的标态曲率和痕迹)的情况下,使用不均匀的线性扰动分析静态稳定的爱因斯坦宇宙的存在。静态和扰动的场方程是为通过状态参数线性方程式参数构建的完美流体的。我们通过考虑奇特的$ f(r,t)$形式来消失和非变化的应激能量张量来获得表现出爱因斯坦静态状态的解决方案。据观察,封闭的静态爱因斯坦区域都存在稳定的静态和开放的FLRW Universe模型,以选择适当的参数。我们得出的结论是,该理论可以有效地提出这种宇宙学解决方案,从而导致新兴的宇宙场景。

The purpose of this paper is to analyze the existence of static stable Einstein universe using inhomogeneous linear perturbations in the context of $f(R,T)$ gravity ($R$ and $T$ denote the scalar curvature and trace of the stress-energy tensor, respectively). The static and perturbed field equations are constructed for perfect fluid parameterized by linear equation of state parameter. We obtain solutions manifesting the Einstein static state by considering peculiar $f(R,T)$ forms for vanishing and non-vanishing conservation of the stress-energy tensor. It is observed that stable static Einstein regions exist for both closed as well as open FLRW universe models for an appropriate choice of parameters. We conclude that this theory is efficient for presenting such cosmological solutions leading to emergent universe scenario.

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