What Casimir Energy can suggest about Space Time Foam?

Details What Casimir Energy can suggest about Space Time Foam? What Casimir Energy can suggest about Space Time Foam?

2001-10-20

arxiv.org/abs/gr-qc/0110087v1

Int.J.Mod.Phys. A17 (2002) 829-832

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

ReVTeX, 3 pages. Talk given at the Fifth Workshop on Quantum Field Theory under the Influence of External Conditions, Leipzig,

Scientific paper

10.1142/S0217751X02010200

In the context of a model of space-time foam, made by $N$ wormholes we discuss the possibility of having a foam formed by different configurations. An equivalence between Schwarzschild and Schwarzschild-Anti-de Sitter wormholes in terms of Casimir energy is shown. An argument to discriminate which configuration could represent a foamy vacuum coming from Schwarzschild black hole transition frequencies is used. The case of a positive cosmological constant is also discussed. Finally, a discussion involving charged wormholes leads to the conclusion that they cannot be used to represent a ground state of the foamy type.

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