Quantum cosmology of the brane universe

Details Quantum cosmology of the brane universe Quantum cosmology of the brane universe

2004-11-29

arxiv.org/abs/gr-qc/0411144v1

Phys.Rev.Lett. 95 (2005) 091301

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, revtex

Scientific paper

10.1103/PhysRevLett.95.091301

We canonically quantize the dynamics of the brane universe embedded into the five-dimensional Schwarzschild-anti-deSitter 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.

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