Quantum cosmology of the brane universe
A. Boyarsky, A. Neronov, I. Tkachev
TL;DR
This paper develops a quantum cosmology model for a brane universe embedded in a five-dimensional bulk, simplifying the quantum formulation and solving the Wheeler-deWitt equation for flat universes, revealing a possible creation mechanism from black hole decay.
Contribution
It introduces a canonical quantization approach for brane-world cosmology, simplifying initial condition problems and providing exact solutions for flat universes.
Findings
Wheeler-deWitt equation becomes a finite-difference equation
Exact ground state solution found for flat universe
Closed brane universe can originate from bulk black hole decay
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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