Event horizons in static electrovac space-times
Abstract
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 withm≧G1/2|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.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- September 1968
- DOI:
- 10.1007/BF01645859
- Bibcode:
- 1968CMaPh...8..245I
- Keywords:
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- Neural Network;
- Statistical Physic;
- Energy Density;
- Complex System;
- Nonlinear Dynamics