论文标题
Einstein-Aether标量场宇宙学中的分析解决方案
Analytic solutions in Einstein-aether scalar field cosmology
论文作者
论文摘要
在爱因斯坦 - 区域标量场宇宙学的背景下,我们解决了场方程并确定精确的分析解决方案。特别是,我们考虑了Kanno和Soda提出的一个模型,其中以太和标量字段通过以太系数参数相互作用,该参数被提升为标量场的函数。对于此模型,我们使用MinisuperSpace方法编写字段方程,并确定导致Liouville(可综合系统)的标量场电势。我们解决了五个标量场电位家族的场方程,无论是可行的,我们都会使用封闭形式的功能写下分析解决方案。
In the context of Einstein-aether scalar field cosmology we solve the field equations and determine exact and analytic solutions. In particular, we consider a model proposed by Kanno and Soda where the aether and the scalar fields interact through the aether coefficient parameters, which are promoted to be functions of the scalar field. For this model, we write the field equations by using the minisuperspace approach and we determine the scalar field potentials which leads to Liouville--integrable systems. We solve the field equations for five families of scalar field potentials and, whether it is feasible, we write down the analytic solutions by using closed-form functions.