Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-06T00:19:01.198Z Has data issue: false hasContentIssue false
  • English
  • Français

Space-time on the rotating disk

Published online by Cambridge University Press:  24 October 2008

Behram Kurşunogğlu
Behram Kurşunogğlu
Affiliation:
Fitzwillam HouseCambridge
Get access Rights & Permissions [Opens in a new window]

Extract

1. Introduction. In a recent paper Clark (1) has dealt with the problem of the rotating disk, the material of which is such that the waves of dilatation in this particular material travel with the velocity of light. The material of the disk is supposed to be under an isotropic stress p when in a strained state, and the relation between stress p and the dilatation Δ is found to be connected by an expression

where a = density in the unstrained state, and Δ is given by

Ui (i = 1, 2, 3) are the components of the strain.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 1 , January 1951 , pp. 177 - 189
Copyright
Copyright © Cambridge Philosophical Society 1951

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)Clark, G. L.The problem of a rotating incompressible disk. Proc. Cambridge Phil. Soc. 45 (1949), 405–10.CrossRefGoogle Scholar
(2)Berenda, , Carlton, W.The problem of the rotating disk. Phys. Rev. (2), 62 (1942), 280–90.CrossRefGoogle Scholar
(3)Kermack, W. O., McCrea, W. H. and Whittaker, E. T.Properties of null geodesics and their application to the theory of radiation. Proc. R. Soc. Edinburgh, 53, 1 (1932), 31–47.Google Scholar
(4)Bondi, H.Spherically symmetrical models in general relativity. Mon. Not. R. Astr. Soc. 107 (1947), 410–25.CrossRefGoogle Scholar
(5)Tolman, R. C.Relativity thermodynamics and cosmology (Oxford, 1934), pp. 59 and 240.Google Scholar
(6)Synge, J. L. and Schild, Z.Tensor calculus (Toronto, 1949), pp. 90–8.CrossRefGoogle Scholar