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Exact models of charged black holes

II. Axisymmetric stationary horizons

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Abstract

Using the formalism developed in the preceding paper, all axisymmetric stationary horizons are described. It is found that the bifurcate-type horizons (such as Schwarzschild) are as numerous as about four functions of one variable, while the extreme-type ones (such as extreme Kerr) only as about two functions of one variable. On the other hand, there is exactly one axisymmetric stationary space-time containing a given bifurcate-type horizon, in comparison to a whole family (at least as numerous as two functions of one variable) of such space-times for a given extreme-type one.

The total massm and angular momentumam of the corresponding black hole could in principle be computed from the invariants describing the bifurcate-type horizons, because the horizons determine their space-time uniquely, but a definite way of computation will probably be difficult to find. On the other hand, the Kerr-Newman-like parametersm anda are easily defined and computed for any extreme-type horizon, but their physical meaning remains so far obscure.

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References

  1. Hájíček, P.: Commun. math. Phys.34, 381 (1973)

    Google Scholar 

  2. Hájíček, P.: Lettere al Nuovo Cim.6, 157 (1973)

    Google Scholar 

  3. Israel, W.: Commun. math. Phys.8, 245 (1968)

    Google Scholar 

  4. Israel, W.: Lettere al Nuovo Cim.6, 267 (1973)

    Google Scholar 

  5. Carter, B.: Phys. Rev. Letters26, 331 (1971)

    Google Scholar 

  6. Beckenstein, J.D.: Phys. Rev.D5, 1239, 2403 (1972)

    Google Scholar 

  7. Bardeen, J., Carter, B., Hawking, S. W.: Four Laws of Black Hole Mechanics. Preprint, December 1972

  8. Newman, E. T., Penrose, R.: J. Math. Phys.7, 863 (1966)

    Google Scholar 

  9. Geroch, R.: Commun. math. Phys.13, 180 (1969)

    Google Scholar 

  10. Newman, E. T., Penrose, R.: J. Math. Phys.3, 566 (1962)

    Google Scholar 

  11. Penrose, R.: Private communication

  12. Müller zum Hagen, H.: Proc. Cambr. Phil. Soc.68, 199 (1970)

    Google Scholar 

  13. Hawking, S. W.: Lecture at the Summer School, Les Houches, 1972

  14. Hawking, S. W., Ellis, G. F. R.: The Large Scale Structure of Space-Time. Cambridge: Cambridge University Press 1973

    Google Scholar 

  15. Boyer, R. H.: Proc. Roy. Soc.A 311, 245 (1969)

    Google Scholar 

  16. Carter, B.: Phys. Rev.174, 1559 (1968)

    Google Scholar 

  17. Bardeen, J.: Unpublished, private communication.

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Author notes

  1. P. Hájíček

    Present address: Institute for Theoretical Physics, University of Berne, Switzerland

Authors and Affiliations

  1. Max-Planck-Institute for Physics and Astrophysics, Munich

    P. Hájíček

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  1. P. Hájíček
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Additional information

A part of this work was supported by Alexander von Humboldt-Stiftung.

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Hájíček, P. Exact models of charged black holes. Commun.Math. Phys. 34, 53–76 (1973). https://doi.org/10.1007/BF01646542

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  • DOI: https://doi.org/10.1007/BF01646542

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