论文标题
对数能量摩尔植物平方重力的动力分析
Dynamical analysis of logarithmic energy-momentum squared gravity
论文作者
论文摘要
我们对$ f（t_ {μν} t^{μν}）=α\ ln（λt_{μt_{μt_{μNν} t^{μν}）$ f（t_ {μν} t^{μν}）的宇宙学模型进行动力学分析。特别是，我们表明Akarsu {\ it等}提出的EMLG的分析宇宙学解决方案（Eur。Phys。J.C 79：846，2019）是未来的吸引子。它在爱因斯坦野外方程的右侧包括新术语，它们产生恒定的惯性质量密度，并提供动态的暗能量，密度在大型红移处的密度低于零以下，可容纳一种用于$α<0 $ <0 $的机制，建议减轻某些宇宙学紧张局势。我们表明，热力学的第二定律需要$α\ leq0 $，以允许进行筛选机构。我们还表明，该模型通过$ h \ rightArrow \ sqrt {（（λ+2α）/3} $作为$ a \ rightArrow \ infty $产生了一系列新的稳定的延迟解决方案，而新术语是由于EMLG的持续有效的惯性质量密度造成的，而emlg均来自emlg/emlg $ h right \ sq sq。 $ a \ rightArrow \ infty $在$λ$ CDM型号中。我们还展示了具有或没有空间曲率的$λ$ CDM中不存在的新有趣的特征和轨迹的存在。
We perform the dynamical system analysis of a cosmological model in the energy-momentum squared gravity (EMSG) of the form $f(T_{μν} T^{μν})=α\ln(λT_{μν} T^{μν})$, which is known as energy-momentum log gravity (EMLG). In particular, we show that the analytical cosmological solution of EMLG presented by Akarsu {\it et al.} (Eur. Phys. J. C 79:846, 2019) is a future attractor. It includes new terms in the right-hand side of the Einstein field equations, which yield constant inertial mass density and provide a dynamical dark energy with a density passing below zero at large redshifts, accommodating a mechanism for screening $Λ$ in the past for $α<0$, suggested for alleviating some cosmological tensions. We show that the second law of thermodynamics requires $α\leq0$ that allows the screening mechanism to take place. We also show that the model gives rise to an entire class of new stable late-time solutions with $H\rightarrow\sqrt{(Λ+2α)/3}$ as $a\rightarrow\infty$, where the new term is due to the constant effective inertial mass density that arises from EMLG contribution of dust, whereas $H\rightarrow\sqrt{Λ/3}$ as $a\rightarrow\infty$ in the $Λ$CDM model. We also show the existence of new interesting features and trajectories that are absent in $Λ$CDM with or without spatial curvature.
