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Occurrence of whimper singularities

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Abstract

HOmogeneous space-times (i.e. those admitting a three-parameter group of isometries) are studied using the Newman Penrose formalism. It is found that solutions containing horizons depend on two fewer parameters than the most general solution, so that horizons and the associated whimper singularities are not stable features of homogeneous space-times. In the vacuum case, there are just three two-parameter families with horizons, two of which are the NUT solutions and certain plane waves.

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Authors and Affiliations

  1. Department of Astrophysics, University of Oxford, OX1 3RQ, Oxford, England

    S. T. C. Siklos

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  1. S. T. C. Siklos
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Communicated by R. Geroch

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Siklos, S.T.C. Occurrence of whimper singularities. Commun.Math. Phys. 58, 255–272 (1978). https://doi.org/10.1007/BF01614223

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