Abstract
The following theorem is established. Among all static, asymptotically flat electrovac fields with closed, simply-connected equipotential surfacesg 0 0=const.. the only ones which have regular event horizonsg 0 0=0 are the Reissner-Nordström family of spherisymmetric solutions withm≧G 1/2|e|/c. In the special case where the gravitational coupling of the electromagnetic energy density is neglected (G=0) all solutions are computed explicitly, thus extending an earlier result ofGinzburg for a magnetic dipole inSchwarzschild's space-time. Possible implications for gravitational collapse are briefly discussed.
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On leave of absence from the Mathematics Department, University of Alberta, Edmonton, Canada.
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Israel, W. Event horizons in static electrovac space-times. Commun.Math. Phys. 8, 245–260 (1968). https://doi.org/10.1007/BF01645859
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DOI: https://doi.org/10.1007/BF01645859