Gauge-invariant fluctuations of scalar branes

Details Gauge-invariant fluctuations of scalar branes Gauge-invariant fluctuations of scalar branes

2001-06-05

arxiv.org/abs/hep-th/0106041v1

Phys.Rev.D64:064023,2001

Physics

High Energy Physics

High Energy Physics - Theory

29 pages in Latex style

Scientific paper

10.1103/PhysRevD.64.064023

A generalization of the Bardeen formalism to the case of warped geometries is presented. The system determining the gauge-invariant fluctuations of the metric induced by the scalar fluctuations of the brane is reduced to a set of Schr\"odinger-like equations for the Bardeen potentials and for the canonical normal modes of the scalar-tensor action. Scalar, vector and tensor modes of the geometry are classified according to four-dimensional Lorentz transformations. While the tensor modes of the geometry live on the brane determining the corrections to Newton law, the scalar and and vector fluctuations exhibit non normalizable zero modes and are, consequently, not localized on the brane. The spectrum of the massive modes of the fluctuations is analyzed using supersymmetric quantum mechanics.

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