Thick de Sitter brane solutions in higher dimensions
Vladimir Dzhunushaliev, Vladimir Folomeev, Masato Minamitsuji
TL;DR
This paper constructs thick de Sitter brane solutions in higher-dimensional spacetimes supported by phantom scalar fields, demonstrating their regularity, asymptotic behavior, and discussing their stability.
Contribution
It introduces new thick de Sitter brane solutions in 5, 6, and 7 dimensions supported by interacting phantom scalar fields, expanding the understanding of higher-dimensional brane models.
Findings
Regular solutions with anti-de Sitter asymptotics in 5D
Flat asymptotics in 6D and 7D cases
Discussion on the stability of the solutions
Abstract
We present thick de Sitter brane solutions which are supported by two interacting {\it phantom} scalar fields in five-, six- and seven-dimensional spacetime. It is shown that for all cases regular solutions with anti-de Sitter asymptotic (5D problem) and a flat asymptotic far from the brane (6D and 7D cases) exist. We also discuss the stability of our solutions.
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