Wormholes and Spacetime Foam: an approach to the Cosmological Constant and Entropy

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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6 pages, RevTex. To be submitted to the on-line proceedings of the Ninth Marcel Grossmann Conference (Rome, 2-8 July 2000); ab

Scientific paper

This paper summarizes the contribution presented at the IX Marcel Grossmann Meeting (Rome, July 2000). A simple model of spacetime foam, made by $N$ Schwarzschild wormholes in a semiclassical approximation, is here proposed. The Casimir-like energy of the quantum fluctuation of such a model and its probability of being realized are computed. Implications on the Bekenstein-Hawking entropy and the cosmological constant are considered. A proposal for an alternative foamy model formed by $N$ Schwarzschild-Anti-de Sitter wormholes is here considered.

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