论文标题
$ f（r，t，r_ {μν} t^{μν}）$ fragity的迟到时间动态
Late time dynamics of $f(R, T, R_{μν}T^{μν})$ gravity
论文作者
论文摘要
研究了$ f（r，t，r_ {μν} t^{μν}）$引力理论的动力学行为和未来的奇异性。这种引力模型是$ f（r，t）$重力的一种更完整的形式，可以为宇宙提供新的动力。我们使用自主动力学系统的方法，并假设物质与暗能量之间的相互作用，研究了$ f = r +αr_{μν} t^{μν} $的引力理论。确定了固定点，结果与标准宇宙学是一致的，并表明，对于小$α$，辐射主导的ERA是该理论不稳定的固定点，宇宙将继续其对物质时代的过程，这是理论的鞍点，并允许进化使能为黑暗的能量主导宇宙。最后，以黑暗能量为主导的时代是一个稳定的固定点，将成为宇宙的较晚吸引子。我们还考虑了两个$ f = r +αr_{μν} t^{μν} $和$ f = r +αrr_{μν} t^{μν} $案例的未来奇点，以及$ w = 0，\ dfrac {1} {1} {3} {3}，1 $和$ 1 $。我们的结果表明，对于$ f = r +αr_{μν} t^{μν} $的情况，宇宙的未来奇异性将与爱因斯坦 - 希尔伯特·弗洛宇宙的情况相同。但是，对于$ f = r +αrr_{μν} t^{μν} $，获得了一种新型的奇异性\ rightarrow 0 $。
Dynamical behavior and future singularities of $f(R, T,R_{μν}T^{μν})$ gravitational theory are investigated. This gravitational model is a more complete form of the $f(R,T)$ gravity which can offer new dynamics for the universe. We investigate this gravitational theory for the case $f = R + αR_{μν}T^{μν}$ using the method of autonomous dynamical systems and by assuming an interaction between matter and dark energy. The fixed points are identified and the results are consistent with standard cosmology and show that for small $α$, the radiation dominated era is an unstable fixed point of the theory and the universe will continue its procedure toward matter era which is a saddle point of the theory and allows the evolution to dark energy dominated universe. Finally the dark energy dominated epoch is a stable fixed point and will be the late time attractor for the universe. We also consider future singularities for the two $f = R + αR_{μν}T^{μν}$ and $f = R +αRR_{μν}T^{μν}$ cases and for $w = 0,\dfrac{1}{3},1$ and $-1$. Our results show that for the case of $f = R + αR_{μν}T^{μν}$, the future singularities of the universe will happen in the same condition as do for the Einstein-Hilbert FRW universe. However, a new type of singularity is obtained for $f = R +αRR_{μν}T^{μν}$ that is captured by $t\rightarrow t_s;\ a \rightarrow a_s;\ ρ\rightarrow \infty;$ and $\ |p| \rightarrow 0$.
