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The Ernst equation in general relativity

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Czechoslovak Journal of Physics B Aims and scope

Abstract

Stationary axisymmetric gravitational fields are governed by the Ernst equation. Its internalSU(1, 1) symmetry gives rise to a linear problem and to Bäcklund transformations which map known solutions into new ones. The main features of the solution generating techniques are outlined, the generalization to Einstein-Maxwell fields is discussed and some applications are given.

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Authors and Affiliations

  1. Sektion Physik, FSU Jena, DDR-6900, Jena, GDR

    D. Kramer

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  1. D. Kramer
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Additional information

This paper summarizes some common work with G. Neugebauer. I would like to thank him for many stimulating discussions.

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Kramer, D. The Ernst equation in general relativity. Czech J Phys 37, 350–358 (1987). https://doi.org/10.1007/BF01597261

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  • DOI: https://doi.org/10.1007/BF01597261

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