论文标题
5D重力理论中的域壁的命运具有紧凑的额外维度
Fate of domain walls in 5D gravitational theory with compact extra dimension
论文作者
论文摘要
我们在5D重力理论中追求域壁的时间演变，并通过数值计算一个紧凑的额外维度。为了避免在真空中腐烂到真空的扭结对，我们在野外空间中引入了拓扑绕组。与非重力理论的情况相反，设置中没有静态域壁解决方案。在电势的最小值是非负值的情况下，我们发现如果选择哈勃参数的初始值作为正值，那么3D空间和额外的维度都将在后期扩展。在进化过程中，壁宽几乎保持恒定。在其他情况下，额外的尺寸分歧，3D空间在有限的时间缩小到零。
We pursue the time evolution of the domain walls in 5D gravitational theory with a compact extra dimension by numerical calculation. In order to avoid a kink-antikink pair that decays into the vacuum, we introduce a topological winding in the field space. In contrast to the case of non-gravitational theories, there is no static domain-wall solution in the setup. In the case that the minimal value of the potential is non-negative, we find that both the 3D space and the extra dimension will expand at late times if the initial value of the Hubble parameter is chosen as positive. The wall width almost remains constant during the evolution. In other cases, the extra dimension diverges and the 3D space shrinks to zero at a finite time.
