Topology Change by Quantum Tunneling in (2 + 1)-Dimensional Einstein Gravity

Physics

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Scientific paper

We investigate possibilities of topology change and nucleation of universes in the (2 + 1)-dimensional Einstein gravity model with negative cosmological constant. We demonstrate that topology change and nucleation phenomena can occur by quantum tunneling by explicitly constructing Euclidean signature hyperbolic 3-geometry. The amplitude is explicitly calculated in the WKB approximation. Point particles can be accommodated in this scheme as topological defects in space-time. They are pair created and annihilated when the universe changes its topology.

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