2001/07/31 by Shinpei Kobayashi, K. Koyama, Kazuya Koyama +1 · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.65.064014
published as Phys.Rev.D65:064014,2002 · 23 pages, 8figures
arxiv created 2001/11/06 · openalex publication_date 2002/02/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Three types of thick branes, i.e., Poincar'e, de Sitter, and anti--de Sitter branes, are considered. They are realized as the nonsingular solutions of the Einstein equations with nontrivial dilaton and 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 small perturbations.