Topological Censorship

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1999-03-17

arxiv.org/abs/gr-qc/9903061v1

Published in Proceedings of the Lake Louise Winter Institute, Particle Physics and Cosmology, Feb. 20-26, 1994, (World Scienti

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex 3, 6 epsf figures. This format differs slightly from that used to produce the article as it originally appeared in the

Scientific paper

Classically, all topologies are allowed as solutions to the Einstein equations. However, one does not observe any topological structures on medium range distance scales, that is scales that are smaller than the size of the observed universe but larger than the microscopic scales for which quantum gravity becomes important. Recently, Friedman, Schleich and Witt have proven that there is topological censorship on these medium range distance scales: the Einstein equations, locally positive energy, and local predictability of physics imply that any medium distance scale topological structures cannot be seen. More precisely, we show that the topology of physically reasonable isolated systems is shrouded from distant observers, or in other words there is a topological censorship principle.

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