Communications in Mathematical Physics

, Volume 8, Issue 3, pp 245–260 | Cite as

Event horizons in static electrovac space-times

  • Werner Israel


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.


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  1. 1.
    Israel, W.: Phys. Rev.164, 1776 (1967).Google Scholar
  2. 2.
    Mysak, L. A., andG. Szekeres: Can. J. Phys.44, 617 (1966).Israel, W., andK. A. Khan: Nuovo Cimento33, 331 (1964).Google Scholar
  3. 3.
    Doroshkevich, A. G., Ya. B. Zel'dovich, andI. D. Novikov: JETP49, 170 (1965) [transl. as Soviet Phys. JETP22, 122 (1966)].Google Scholar
  4. 4.
    Ginzburg, V. L.: Dokl. Akad. Nauk SSSR156, 43 (1964) [transl. as Soviet Phys. Doklady9, 329 (1964)].Google Scholar
  5. 4a.
    ——, andL. M. Ozernoi: JETP47, 1030 (1964) [transl. as Soviet Phys. JETP20, 689 (1965)].Google Scholar
  6. 5.
    Boyer, R. H., andR. W. Lindquist: J. Math. Phys.8, 265 (1967).Google Scholar
  7. 6.
    Israel, W.: Nature216, 148 and 312 (1967).Google Scholar

Copyright information

© Springer-Verlag 1968

Authors and Affiliations

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

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