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

Abstract

A simple model of spacetime foam, made by $N$ Reissner-Nordström 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-Nordström wormholes but that such a collection can be taken as an excited state of the foam.

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

References in corpus (3)

• Instability of charged black holes in anti-de Sitter space
• Energy Distribution of a Charged Regular Black Hole
• A Spacetime Foam approach to the cosmological constant and entropy