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Some type III solutions of the Einstein-Maxwell equations

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Abstract

A Petrov type III metric with nontwisting, degenerate Debever-Penrose direction is studied. This metric is, in general, a solution of the Einstein-Maxwell equations. Two particular cases are investigated in some detail. It is shown that the metric contains typeN, conformally flat and flat metrics as special subcases. Among these subcases, we find the metric of plane gravitational waves and the Bertotti-Robinson solution.

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Authors and Affiliations

  1. Instituto de Astronomía, Universidad Nacional Autónoma de México, México 20, D.F.

    S. Hacyan

  2. Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, México 14, D.F.

    J. F. Plebañski

Authors
  1. S. Hacyan
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  2. J. F. Plebañski
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Additional information

On leave of absence from University of Warsaw, Warsaw, Poland.

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Hacyan, S., Plebañski, J.F. Some type III solutions of the Einstein-Maxwell equations. Int J Theor Phys 14, 319–326 (1975). https://doi.org/10.1007/BF01807860

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  • DOI: https://doi.org/10.1007/BF01807860

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