标题： 在f(R,T,R_{μν}T^{μν})引力中的爱因斯坦宇宙的稳定性 显示英文标题

标题： On the Stability of Einstein Universe in f(R,T,R_{μν}T^{μν}) Gravity

摘要： 本文研究了在$f(R,T,Q)$引力背景下爱因斯坦宇宙的存在性和稳定性，其中$Q=R_{\mu\nu}T^{\mu\nu}$。 考虑尺度因子和能量密度的线性齐次扰动，我们推导出静态以及扰动的场方程。 我们使用线性状态方程参数来参数化对应于守恒和非守恒能动张量的稳定区域，针对这种引力的特定模型。 图形分析得出，对于参数的适当选择，可以获得爱因斯坦宇宙的稳定区域。 显示英文摘要

摘要： This paper investigates the existence and stability of Einstein universe in the context of $f(R,T,Q)$ gravity, where $Q=R_{\mu\nu}T^{\mu\nu}$. Considering linear homogeneous perturbations around scale factor and energy density, we formulate static as well as perturbed field equations. We parameterize the stability regions corresponding to conserved as well as non-conserved energy-momentum tensor using linear equation of state parameter for particular models of this gravity. The graphical analysis concludes that for a suitable choice of parameters, the stable regions of the Einstein universe are obtained.