Hostname: page-component-8448b6f56d-t5pn6 Total loading time: 0 Render date: 2024-04-24T16:42:34.089Z Has data issue: false hasContentIssue false
  • English
  • Français

Electrostatics in a gravitational field*

Published online by Cambridge University Press:  14 November 2011

E. T. Copson
E. T. Copson
Affiliation:
Department of Mathematics, University of St Andrews
Get access Rights & Permissions [Opens in a new window]

Synopsis

In this paper, the electrostatic potential of a point charge in a Reisser-Nordström gravitational field is found in closed form by using the theory of Hadamard's elementary solution of a partial differential equation of elliptic type.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 80 , Issue 3-4 , 1978 , pp. 201 - 211
Copyright
Copyright © Royal Society of Edinburgh 1978

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

1Whittaker, E. T.Electric Phenomena in a Gravitational Field. Proc. Roy. Soc. London Sect. A 116 (1927), 720–735.Google Scholar
2Hadamard, J.Lectures on Cauchy's Problem in Linear Partial Differential Equations, Ch. III (Yale: Univ. Press, 1923 and New York: Dover, 1953).Google Scholar
3Copson, E. T.On Electrostatics in a Gravitational Field. Proc. Roy. Soc. London Sect. A 118 (1928), 184–194.Google Scholar
4Adler, R. J. and Das, T. K.Charged-black-hole Electrostatics. Phys. Rev. D 14 (1976), 2474–2477.CrossRefGoogle Scholar
5Whittaker, E. T. and Watson, G. N.Modern Analysis (Cambridge: University Press, 1920).Google Scholar