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 potential 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 tension is not a free parameter, and the initial classical bulk-brane action is defined by some considerations. The effective bulk-brane equations of motion are also analysed. The quantum creation of a four-dimensional de Sitter or anti-de Sitter (AdS) brane universe living in five-dimensional AdS space 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/hyperbolic brane shapes. The generalization of the above scenario to dominant bulk quantum gravity naturally represents this scenario as self-consistent warped compactification within an AdS/CFT set-up.