On the Stability of Randall-Sundrum Braneworlds with Conformal Bulk Fields

Physics – High Energy Physics – High Energy Physics - Theory

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10 pages, latex, no figures. Contribution to the special issue of Vestnik of Tomsk State Pedagogical University in the field

Scientific paper

In the Randall-Sundrum scenario we consider exact 5-dimensional solutions with localized gravity which are associated with a well defined class of conformal bulk fields. We analyze their behaviour under radion field perturbations. We show that if the Randall-Sundrum exponential warp is the localizing metric function and the equation of state of the conformal fields is not changed by the radion perturbation then the 5-dimensional solutions are unstable. We present new stable solutions which describe on the brane the dynamics of inhomogeneous dust, generalized dark radiation and homogeneous polytopic matter.

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