k-stabilization in brane models

Details k-stabilization in brane models k-stabilization in brane models

2008-01-10

arxiv.org/abs/0801.1605v2

Phys.Rev.D78:084036,2008

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, subsection on self-adjoint Sturm-Liouville eigenvalue problems added, references added, version to be published

Scientific paper

10.1103/PhysRevD.78.084036

Stabilization of inter-brane distance is analyzed in 5-dimensional models with higher-order scalar kinetic terms. Equations of motion and boundary conditions for background and for scalar perturbations are presented. Conditions sufficient and (with one exception) necessary for stability are derived and discussed. It is shown that it is possible to construct stable brane configurations even without scalar potentials and cosmological constants. As a byproduct we identify a large class of non-standard boundary conditions for which the Sturm-Liouville operator is hermitian.

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