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On the stability of Randall-Sundrum braneworlds with conformal bulk fields // Tomsk State Pedagogical University Bulletin. 2004. Issue 7 (44). P. 94-98

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 tneir behaviour under radion field perturbations. We show that it 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 inhoinoqeneous OUST, generalized dark radiation and homogeneous polytropic matter