Is spacetime hole-free?

Details Is spacetime hole-free? Is spacetime hole-free?

Jul 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009gregr..41.1639m&link_type=abstract

General Relativity and Gravitation, Volume 41, Issue 7, pp.1639-1643

Physics

1

Hole-Freeness, Determinism, Global Structure, Singularities

Scientific paper

Here, we examine hole-freeness—a condition sometimes imposed to rule out seemingly artificial spacetimes. We show that under existing definitions (and contrary to claims made in the literature) there exist inextendible, globally hyperbolic spacetimes which fail to be hole-free. We then propose an updated formulation of the condition which enables us to show the intended result. We conclude with a few general remarks on the strength of the definition and then formulate a precise question which may be interpreted as: Are all physically reasonable spacetimes hole-free?

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