Author:
Abe Hiroyuki,Aoki Shuntaro,Asai Yu,Sakamura Yutaka
Abstract
Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
1 articles.
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1. Ultraviolet sensitivity of Casimir energy;Progress of Theoretical and Experimental Physics;2022-02-14