Conformal scalar field wormholes

Mathematics – Logic

Scientific paper

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46

Conformal Mapping, Cosmology, Einstein Equations, Euclidean Geometry, Scalars, Space-Time Functions, Astronomical Models, Gravitational Effects, Gravitational Fields

Scientific paper

The Euclidian Einstein equations with a cosmological constant and a conformally coupled scalar field are solved, taking the metric to be of the Robertson-Walker type. In the case Lambda = 0, solutions are found which represent a wormhole connecting two asymptotically flat Euclidian regions. In the case Lambda greater than 0, the solutions represent tunneling from a small Tolman-like universe to a large Robertson-Walker universe.

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