Abstract
Vacuum quantum effects in a conformally coupled scalar field on the background of a conformally flat geometry of brane worlds are studied. Based on the corresponding results for a Minkowski space-time in the general case of mixed boundary conditions on the branes, formulas are derived for the vacuum averaged energy-momentum tensor and for the vacuum forces acting on the boundaries. The important special case of AdS background is examined and applications to the Randall-Sundrum model are discussed. The possible stabilization of the radion by vacuum forces is demonstrated.
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Saharian, A.A. Vacuum Effects in a Conformally Flat Brane-Cosmology and Radion Stabilization. Astrophysics 46, 103–113 (2003). https://doi.org/10.1023/A:1022923805856
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DOI: https://doi.org/10.1023/A:1022923805856