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The Existence of Cosmic Time Functions

S. W. Hawking
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Vol. 308, No. 1494 (Jan. 14, 1969), pp. 433-435
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/2416157
Page Count: 3
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The Existence of Cosmic Time Functions
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Abstract

It is shown that stable causality is the necessary and sufficient condition that there should exist a cosmic time function which increases along every future directed timelike or null curve. Stable causality means that there are no closed timelike or null curves in any Lorentz metric that is sufficiently close to the space-time metric.

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