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Phys. Rev. D 79, 124041 (2009) [3 pages]

Even the Minkowski space is holed

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S. Krasnikov
The Central Astronomical Observatory of the Russian Academy of Sciences at Pulkovo, St. Petersburg, Russia

Received 5 May 2009; published 26 June 2009

To cure the lack of predictive power of general relativity, Geroch proposed to complete the theory with an additional postulate that only “hole-free” spacetimes are permitted. This postulate (or, rather, that obtained from it by some disambiguating) seems physically well-founded and at the same time appropriately restrictive. I show, however, that it is too strong—it prohibits even the Minkowski space.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.79.124041
DOI:
10.1103/PhysRevD.79.124041
PACS:
04.20.Gz