论文标题
关于局部旋转对称的Bianchi III宇宙学的振荡和未来的渐进性，具有巨大的标量场
On the oscillations and future asymptotics of locally rotationally symmetric Bianchi type III cosmologies with a massive scalar field
论文作者
论文摘要
我们分析了具有大量标量场的局部旋转比安奇型III的局部旋转对称性比安奇III的空间宇宙学模型。我们的主要结果涉及这些空间的未来渐近学，并为所有解决方案提供了度量标准和标量领域的主要时间行为。该指标永远朝着各个方向扩展，但是仅以对数速率以一个空间方向朝着一个空间方向扩展，而其他两个方向则以幂律率。尽管能量密度为零，但在某种意义上，指标成分与相应的真空未来渐近造成差异是统一的。 我们的结果取决于我们提供强大的分析和数值支持的猜想。为此，我们应用了非线性动力学系统中平均理论的方法。这使我们能够通过扰动方法通过klein-gordon方程来控制通过标量场进入系统的振荡。
We analyse spatially homogenous cosmological models of locally rotationally symmetric Bianchi type III with a massive scalar field as matter model. Our main result concerns the future asymptotics of these spacetimes and gives the dominant time behaviour of the metric and the scalar field for all solutions for late times. This metric is forever expanding in all directions, however in one spatial direction only at a logarithmic rate, while at a power-law rate in the other two. Although the energy density goes to zero, it is matter dominated in the sense that the metric components differ qualitatively from the corresponding vacuum future asymptotics. Our results rely on a conjecture for which we give strong analytical and numerical support. For this we apply methods from the theory of averaging in nonlinear dynamical systems. This allows us to control the oscillations entering the system through the scalar field by the Klein-Gordon equation in a perturbative approach.
