Thick brane worlds and their stability
Thick brane worlds and their stability
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DOI：
10.1103/physrevd.65.064014
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发表时间：
2001-07
影响因子：
5
通讯作者：
Shinpei Kobayashi;K. Koyama;J. Soda
中科院分区：
文献类型：
--
作者：
Shinpei Kobayashi;K. Koyama;J. Soda
三种类型的厚膜，即，Poincar\'{e}，de Sitter和Anti-de Sitter膜.它们被实现为具有非平凡子和势的爱因斯坦方程的非奇异解。研究了这些系统的标量摄动。我们发现，标量扰动的主方程的有效势是正定的，因此这些系统在小扰动下是稳定的。
Three types of thick branes, i.e., Poincar\'{e}, 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.