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New types of singularity in General Relativity: The general cylindrically symmetric stationary dust solution

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Abstract

The general solution of Einstein's equations for a stationary cylindrically symmetric distribution of pressure-free matter is obtained. It contains a function which may be freely prescribed. Using this freedom examples are given of new types of singularity in General Relativity.

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Authors and Affiliations

  1. Department of Mathematics, University College London, London, UK

    A. R. King

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  1. A. R. King
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Communicated by J. Ehlers

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King, A.R. New types of singularity in General Relativity: The general cylindrically symmetric stationary dust solution. Commun.Math. Phys. 38, 157–171 (1974). https://doi.org/10.1007/BF01651509

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  • DOI: https://doi.org/10.1007/BF01651509

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