Can Reissner-Nordström wormholes be considered for Spacetime Foam formation?

Details Can Reissner-Nordström wormholes be considered for Spacetime Foam formation? Can Reissner-Nordström wormholes be considered for Spacetime Foam formation?

2002-02-07

arxiv.org/abs/gr-qc/0202023v1

Int.J.Theor.Phys. 9 (2002) 129

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages. RevTeX with package epsf and four eps figures. Submitted to International Journal of Theoretical Physics, Group Theo

Scientific paper

A simple model of spacetime foam, made by $N$ Reissner-Nordstr\"{o}m wormholes with a magnetic and electric charge in a semiclassical approximation, is taken under examination. The Casimir-like energy of the quantum fluctuation of such a model is computed and compared with that one obtained with a foamy space modeled by $N$ Schwarzschild wormholes. The comparison leads to the conclusion that a foamy spacetime cannot be considered as a collection of $N$ Reissner-Nordstr\"{o}m wormholes but that such a collection can be taken as an excited state of the foam.

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