On spacetimes containing Killing vector fields with non-closed orbits

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Published under licence by IOP Publishing Ltd
, , Citation J Isenberg and V Moncrief 1992 Class. Quantum Grav. 9 1683 DOI 10.1088/0264-9381/9/7/004

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1 Dept. of Math., Oregon Univ., Eugene, OR, USA

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0264-9381/9/7/1683

Abstract

The authors show that if a maximally extended, globally hyperbolic solution of Einstein's equations admits a non-vanishing Killing vector field which is tangent to a compact Cauchy surface and which has non-closed orbits, then the spacetime isometry group is at least two dimensional.

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10.1088/0264-9381/9/7/004