Thick brane in 7D and 8D spacetimes
Vladimir Dzhunushaliev, Vladimir Folomeev, Kairat Myrzakulov and, Ratbay Myrzakulov
TL;DR
This paper constructs thick brane models supported by scalar fields in 7D and 8D spacetimes, finding regular solutions and exploring their generalization to higher dimensions.
Contribution
It introduces a method to obtain regular asymptotically flat solutions for thick branes in higher-dimensional gravity with scalar fields, extending previous models.
Findings
Numerical solutions for 7D and 8D thick branes.
Potential for generalization to arbitrary extra dimensions.
Regular asymptotically flat vacuum solutions achieved.
Abstract
We consider a thick brane model supported by two interacting scalar fields in 7D and 8D general relativity. Using the special type of a potential energy, we obtain numerically the regular asymptotically flat vacuum solutions. A possibility of obtaining the similar solutions for an arbitrary number of the extra spatial dimensions is estimated.
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