Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-01-08
Phys.Rev.D66:024024,2002
Physics
High Energy Physics
High Energy Physics - Theory
the study of scalar perturbations and some relevant references have been added. The most used definition for mass in de Sitter
Scientific paper
10.1103/PhysRevD.66.024024
The embedding of a thick de Sitter 3-brane into a five-dimensional bulk is studied, assuming a scalar field with potential is present in the bulk. A class of solutions is found in closed form that can represent a thick de Sitter 3-brane interpolating either between two dynamical black holes with a $R \times S_{4}$ topology or between two Rindler-like spacetimes with a $R_{2}\times S_{3}$ topology. The gravitational field is localized in a small region near the center of the 3-brane. The analysis of graviton fluctuations shows that a zero mode exists and separates itself from a set of continuous modes by a mass gap. The existence of such a mass gap is shown to be universal. The scalar perturbations are also studied and shown to be stable.
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