Thick Brane Worlds and Their Stability

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.

23 pages, 8figures

References in corpus (8)

• Gauge-invariant fluctuations of scalar branes
• Bulk Gravitational Field and Cosmological Perturbations on the Brane
• Thick branes and Gauss-Bonnet self-interactions
• Integro-differential equation for brane-world cosmological perturbations
• Quantum fluctuations in brane-world inflation without inflaton on the brane
• Cosmological Perturbations in Brane Worlds: Brane Bending and Anisotropic Stresses
• After bulky brane inflation
• de Sitter Brane Gravity: from Close-Up to Panorama

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