论文标题
动力学和精确的bianchi i Einstein-Aether标量场理论中的空间
Dynamics and exact Bianchi I spacetimes in Einstein-aether scalar field theory
论文作者
论文摘要
我们确定具有Bianchi I背景空间的爱因斯坦 - 安塞特标量模型场中重力场方程的精确和分析解。特别是，我们考虑了标量场与以太字段的非线性相互作用。对于正在考虑的模型，我们可以使用MinisuperSpace描述编写字段方程。字段方程的点状拉格朗日取决于三个未知函数。我们为未知函数的特定形式的现场方程提供了保护定律，以使场方程是可集成的。此外，我们通过确定平衡点并分析其稳定性来研究场方程的演变和各向异性的演变。
We determine exact and analytic solutions of the gravitational field equations in Einstein-aether scalar model field with a Bianchi I background space. In particular, we consider nonlinear interactions of the scalar field with the aether field. For the model under consideration we can write the field equations by using the minisuperspace description. The point-like Lagrangian of the field equations depends on three unknown functions. We derive conservation laws for the field equations for specific forms of the unknown functions such that the field equations are Liouville integrable. Furthermore, we study the evolution of the field equations and the evolution of the anisotropies by determining the equilibrium points and analyzing their stability.
