title: Quantum cosmology of the brane universe.
abstract: We canonically quantize the dynamics of the brane universe embedded into the five-dimensional Schwarzschild-anti-de Sitter bulk space-time. We show that in the brane-world settings the formulation of the quantum cosmology, including the problem of initial conditions, is conceptually more simple than in the (3+1)-dimensional case. The Wheeler-DeWitt equation is a finite-difference equation. It is exactly solvable in the case of a flat universe and we find the ground state of the system. The closed brane universe can be created as a result of decay of the bulk black hole.
authors.affiliation: Ecole Polytechnique Fédérale de Lausanne, BSP 720, CH-1015 Lausanne, Switzerland.
authors.forename: A
authors.initials: A
authors.lastname: Boyarsky
authors.forename: A
authors.initials: A
authors.lastname: Neronov
authors.forename: I
authors.initials: I
authors.lastname: Tkachev