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arXiv 2009.14527hep-th
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具有紧致额外维的5D引力理论中畴壁的命运

Fate of domain walls in 5D gravitational theory with compact extra dimension

Hiroyuki Abe, Shuntaro Aoki, Yu Asai, Yutaka Sakamura

摘要:

通过数值计算,研究了具有紧致额外维的5D引力理论中畴壁的时间演化。为了避免扭结-反扭结对衰变到真空中,我们在场空间中引入拓扑缠绕。与非引力理论的情况相反,在该装置中没有静态畴壁解。在势的最小值为非负的情况下,我们发现如果哈勃参数的初始值取正值,那么三维空间和额外维都将在后期膨胀。壁宽在演化过程中几乎保持不变。在其他情况下,额外维度发散,3D空间在有限时间收缩为零。

英文摘要:

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.

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