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Quantum cosmology of the brane universe

A. Boyarsky·A. Neronov·I. Tkachev
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Abstract

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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A. Boyarsky, A. Neronov, I. Tkachev. 2004-11-29. Quantum cosmology of the brane universe. https://doi.org/10.1103/physrevlett.95.091301

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