论文标题
Kantowski-Sachs Einstein-Aether标量宇宙宇宙学模型：续集
Kantowski-Sachs Einstein-Aether Scalar Field Cosmological Models: The Sequel
论文作者
论文摘要
利用ARXIV中得出的普通微分方程的自主系统：1809.01458来定义进化，我们进一步研究了Einstein-Aether-Aether重力框架内的一类宇宙学模型，通过引入非平凡的耦合，从而在未来的Aerth Field引入scalar Field的剪切物之间，以实现未来的scalar Field。随后，我们对新的平衡点进行了定性和数值稳定性分析，并立即确定在存在这种耦合的情况下，扩张性的幂律膨胀吸引子成为各向异性而不是各向同性。进一步表明，该解决方案的稳定性取决于剪切耦合参数$ a3 $的值。我们还发现了一个渐近稳定的周期轨道家族，该家族对于比安奇I不变集中的特定参数值范围而存在，并且在没有以太字段和标量场之间的耦合的情况下消失了。
Utilizing the autonomous system of ordinary differential equations derived in arXiv:1809.01458 to define the evolution, we further investigate a class of cosmological models within an Einstein-aether gravitational framework by introducing a non-trivial coupling between the shear of the aether field to the scalar field on the future asymptotic solution. We subsequently conduct qualitative and numerical stability analysis on the new set of equilibrium points and paramountly determine that the expansionary power-law inflationary attractor becomes anisotropic rather than isotropic in the presence of such a coupling. It is further shown that the stability of this solution is dependent on the value of the shear coupling parameter $a3$. We also discover a family of asymptotically stable periodic orbits which exist for a particular range of parameter values within the Bianchi I invariant set and vanish in the absence of coupling between the aether field and the scalar field.
