Static Magnetic Fields in General Relativity
- 1 March 1954
- journal article
- Published by IOP Publishing in Proceedings of the Physical Society. Section A
- Vol. 67 (3) , 225-232
- https://doi.org/10.1088/0370-1298/67/3/305
Abstract
A theorem is proved which enables a class of known electrostatic solutions of the field equations to be adapted to the magnetostatic case. Exact solutions referring to a uniform magnetic field and to a magnetic dipole are given. The solution for a circular loop of wire carrying a steady current is considered, and it is shown that if the mass of the wire be neglected, both the magnetic and gravitational fields at great distances are equivalent to those of a magnetic dipole. The paper concludes with a short discussion of the significance of the solutions presented here, and in an earlier paper, for relativistic electromagnetic theory.Keywords
This publication has 5 references indexed in Scilit:
- Certain Exact Solutions of the Equations of General Relativity with an Electrostatic FieldProceedings of the Physical Society. Section A, 1953
- A Class of Exact Solutions of Einstein's Field EquationsPhysical Review B, 1947
- Integral electromagnetic theorems in general relativityProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1936
- On Gauss' theorem and the concept of mass in general relativityProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1935
- Zur GravitationstheorieAnnalen der Physik, 1917