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arxiv: 0804.4722 · v5 · submitted 2008-04-30 · 🌀 gr-qc · hep-th· math.DG

Yamabe flow, conformal gravity and spacetime foam

classification 🌀 gr-qc hep-thmath.DG
keywords flowyamabeconformalfoamgravityspacetimetransitionappearing
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It is shown that 3D part of a spherically symmetric solution in conformal Weyl gravity interacting with Maxwell electrodynamics is a Yamabe flow as well. The Yamabe flow describes the transition from a horn of an initial wormhole to a 3D Euclidean space both filled with a radial electric field. It is supposed that such transition may describe appearing/disappearing quantum wormholes in a spacetime foam.

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