Bulk versus boundary (gravitational Casimir) effects in the quantum creation of an inflationary brane-world universe

The role of bulk matter quantum effects (via the corresponding effective po tential discussed using the example of a conformal scalar) and of boundary matter quantum effects (via the conformal anomaly induced effective action) is considered in brane-world cosmology. A scenario is used where brane ten sion is not a free parameter, and the initial classical bulk-brane action i s defined by some considerations. The effective bulk-brane equations of mot ion are also analysed. The quantum creation of a four-dimensional de Sitter or anti-de Sitter (AdS) brane universe living in five-dimensional AdS spac e is possible when quantum bulk and/or brane matter is taken into account. The consideration of only conformal field theory (CFT) living on the brane admits the full analytical treatment. The bulk gravitational Casimir effect leads to deformations of five-dimensional AdS space and spherical/hyperbol ic brane shapes. The generalization of the above scenario to dominant bulk quantum gravity naturally represents this scenario as self-consistent warpe d compactification within an AdS/CFT set-up.