论文标题
五维扭曲时空的旋转墙
Spinor Walls in Five-Dimensional Warped Spacetime
论文作者
论文摘要
我们研究了真正的纺纱场与引力的五个维度的域壁溶液。我们发现，非线性旋转型场支持一类孤子配置，这些配置可以看作是嵌入五个维度的壁。在没有引力的情况下，我们从纺纱场的照明溶液开始。在进一步的研究中，我们展示了具有非稳定曲率散装空间和三组溶液的三组纺纱场溶液，这些溶液与三个恒定曲率散布空位相对应。我们证明，在特定条件下，其中一些解决方案具有旋转场的域壁的能量密度分布，在该区域中，标量曲率到处都是常规的。因此，这些墙的配置可以解释为纺纱壁，这是域壁上有趣的纺纱场实现。为了研究这些纺纱构型的稳定性，考虑了线性扰动。还讨论了张量扰动的零模式的定位。
We study domain wall solutions of a real spinor field coupling with gravitation in five dimensions. We find that the nonlinear spinor field supports a class of soliton configurations which could be viewed as a wall embedded in five dimensions. We begin with an illuminating solution of the spinor field in the absence of gravitation. In a further investigation, we exhibit three sets of solutions of the spinor field with nonconstant curvature bulk spacetimes and three sets of solutions corresponding to three constant curvature bulk spacetimes. We demonstrate that some of these solutions in specific conditions have the energy density distributions of domain walls for the spinor field, where the scalar curvature is regular everywhere. Therefore, the configurations of these walls can be interpreted as spinor walls which are interesting spinor field realizations of domain walls. In order to investigate the stability of these spinor configurations, the linear perturbations are considered. The localization of the zero mode of tensor perturbation is also discussed.
