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A new physical characterization of stationary and static space-times

Published online by Cambridge University Press:  24 October 2008

H. Müller zum Hagen
H. Müller zum Hagen
Affiliation:
King's College, London
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Abstract

A space time is stationary if and only if it admits a congruence of time-like curves such that the distance between any two curves is time independent. The distance between two curves A and B, which are not necessarily infinitesimally close to each other, is defined as half the trip-time of a photon, which travels from A to B and back to A.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 2 , March 1972 , pp. 381 - 389
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

REFERENCES

(1)Ehlers, J. and Kundt, W. Exact solutions of the gravitational field equations, Published in: Gravitation; an introduction to current research. Editor: Witten, L. W. (Wiley; New York, 1962).Google Scholar
(2)Synge, J. L.Relativity; the general theory (North-Holland Publishing Company; Amsterdam, 1964).Google Scholar
(3)Bondi-Pirani-Trautman, . Brandeis lectures: lectures on general relativity (Prentice-Hall, Inc. Englewood Cliffs, New Jersey, 1964).Google Scholar
(4)Ehlers, J. Beitraege zur relativistischen Mechanik knotinuierlicher Medien. Akademie der Wissenschaften und der Literatur. Mainz Abh. math.-nat. Kl. 1961, Nr. 11.Google Scholar