Journals of the American Physical Society - Stability of thick brane worlds nonminimally coupled to gravity

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January 2008, to be published in Physical Review D15

Stability of thick brane worlds nonminimally coupled to gravity
A. A. Andrianov and L. Vecchi

We analyze a class of 5D models where a 3 brane is generated by a bulk scalar field non-minimally coupled to gravity. We show that perturbative stability of such branes is normally guaranteed although non-minimal couplings are not innocuous in general. After the physical states are identified, the linearized equations for the propagating modes are evaluated into a Schr\"odinger form. The spectrum contains a tower of spin 2 and spin 0 fields with continuous masses starting from zero ones. For regular geometries the scalar spectrum contains a massless state which is always non-normalizable. The propagating massive scalar states are repelled off the brane due to a centrifugal potential.

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