Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-25T14:05:42.121Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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