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arXiv · hep-th/0107025

Thick Brane Worlds and Their Stability

Shinpei Kobayashi·Kazuya Koyama·Jiro Soda
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Abstract

Three types of thick branes, i.e., Poincaré, de Sitter and Anti-de Sitter brane are considered. They are realized as the non-singular solutions of the Einstein equations with the non-trivial dilatons and the potentials. The scalar perturbations of these systems are also investigated. We find that the effective potentials of the master equations of the scalar perturbations are positive definite and consequently these systems are stable under the small perturbations.

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Shinpei Kobayashi, Kazuya Koyama, Jiro Soda. 2001-11-06. Thick Brane Worlds and Their Stability. https://doi.org/10.1103/physrevd.65.064014

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