Communications in Mathematical Physics

, Volume 8, Issue 3, pp 245–260

Event horizons in static electrovac space-times

  • Werner Israel

DOI: 10.1007/BF01645859

Cite this article as:
Israel, W. Commun.Math. Phys. (1968) 8: 245. doi:10.1007/BF01645859


The following theorem is established. Among all static, asymptotically flat electrovac fields with closed, simply-connected equipotential surfacesg0 0=const.. the only ones which have regular event horizonsg0 0=0 are the Reissner-Nordström family of spherisymmetric solutions withmG1/2|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.

Copyright information

© Springer-Verlag 1968

Authors and Affiliations

  • Werner Israel
    • 1
  1. 1.Dublin Institute for Advanced StudiesDublin