Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-27T19:48:22.935Z Has data issue: false hasContentIssue false
  • English
  • Français

The gravitational field of a rotating cohesive system

Published online by Cambridge University Press:  24 October 2008

G. L. Clark
G. L. Clark
Affiliation:
Trinity CollegeCambridge
Get access Rights & Permissions [Opens in a new window]

Extract

In this paper a periodic solution of the gravitational equations is examined. The solution, which is valid throughout all space, is such that the internal and external fields and their derivatives are continuous at the boundary of a spheroid rotating about an axis other than that of symmetry. At great distances from the system the solution has the same form as the field due to a rotating rod and can be applied to problems like the determination of the velocity of propagation of gravitational waves and the loss of energy of a rotating cohesive system.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 43 , Issue 2 , April 1947 , pp. 164 - 177
Copyright
Copyright © Cambridge Philosophical Society 1947

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)Eddington, A. S.Mathematical theory of relativity, 2nd ed. (Cambridge, 1924).Google Scholar
(2)Einstein, A., Infeld, L. and Hoffmann, B.Ann. Math., Princeton, etc., 39 (1938), 65–100.CrossRefGoogle Scholar
(3)Eddington, A. S.Proc. Roy. Soc. A, 102 (1922), 268–82.Google Scholar
(4)Clark, G. L.Proc. Soy. Soc. A, 177 (1941), 227–50.Google Scholar