Space Time Foam: a ground state candidate for Quantum Gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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6 pages.RevTeX with package epsf and two eps figures. To be submitted to the proceedings of the 4th Workshop of `Mysteries, Pu

Scientific paper

10.1088/1464-4266/4/4/307

A model of space-time foam, made by $N$ wormholes is considered. The Casimir energy leading to such a model is computed by means of the phase shift method which is in agreement with the variational approach used in Refs.[9-14]. The collection of Schwarzschild and Reissner-Nordstr\"{o}m wormholes are separately considered to represent the foam. The Casimir energy shows that the Reissner-Nordstr\"{o}m wormholes cannot be used to represent the foam.

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