65,948 research outputs found
Pure geometric thick -branes: stability and localization of gravity
We study two exactly solvable five-dimensional thick brane world models in
pure metric gravity. Working in the Einstein frame, we show that these
solutions are stable against small linear perturbations, including the tensor,
vector, and scalar modes. For both models, the corresponding gravitational zero
mode is localized on the brane, which leads to the four-dimensional Newton's
law; while the massive modes are nonlocalized and only contribute a small
correction to the Newton's law at a large distance.Comment: 7 pages, 2 figures, improved version, accepted by Eur. Phys. J.
-field kinks: stability, exact solutions and new features
We study a class of noncanonical real scalar field models in
-dimensional flat space-time. We first derive the general criterion for
the classical linear stability of an arbitrary static soliton solution of these
models. Then we construct first-order formalisms for some typical models and
derive the corresponding kink solutions. The linear structures of these
solutions are also qualitatively analyzed and compared with the canonical kink
solutions.Comment: 14 pages, 3 figure
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