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Characterization of locally rotationally symmetric space-times

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Abstract

We give a simple characterization of locally rotationally symmetric space-times in terms of the existence of a canonical null tetrad or canonical orthonormal tetrad. The result is applied to space-times which satisfy the Einstein field equations with a perfect fluid or electromagnetic field as source.

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Authors and Affiliations

  1. Department of Mathematics, California State University, Fullerton, 92634, Fullerton, California

    S. W. Goode

  2. Department of Applied Mathematics, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    J. Wainwright

Authors
  1. S. W. Goode
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  2. J. Wainwright
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Goode, S.W., Wainwright, J. Characterization of locally rotationally symmetric space-times. Gen Relat Gravit 18, 315–331 (1986). https://doi.org/10.1007/BF00765890

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  • DOI: https://doi.org/10.1007/BF00765890

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