Physics
Scientific paper
Feb 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974rspsa.336..273w&link_type=abstract
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 336, Issue 1606, pp. 273-284
Physics
2
Scientific paper
It is shown that in the Einstein-Maxwell theory a class of four-dimensional charged fluid space-times exists, with non-zero fluid pressure, satisfying the conditions that (i) the fluid motion is isometric, (ii) the dual of the electromagnetic field tensor has no projection in the direction of a Killing vector - equivalent to the condition that in a static space time the local field of an observer moving with the fluid is purely electric - and (iii) the ratio of charge to mass is constant. For the case of a diagonal static metric it is seen that a group of quasi-conformal transformations may be determined which leaves the field equations unchanged. This may be used to obtain a full solution of the field equations, in three independent variables, from a given solution in one independent variable. A spherically symmetric solution of this kind is obtained which is seen to be expressible in terms of hypergeometric functions. An interesting aspect of this is that the charge/mass ratio can only have discrete values depending on the eigenvalues of a linear boundary-value problem.
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