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The static metrics with cylindrical symmetry describing a model of cosmic strings

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Abstract

We discuss a set of static metrics with cylindrical symmetry describing the interior and exterior space-time of a model of cosmic strings considered recently in cosmology. The interior metric depends on one arbitrary function and the exterior on one constant. We find the relation between this constant and the linear mass density of the cosmic string. A cosmic string can be also treated as a line source in the framework of the distribution-valued curvature formalism which allows us to obtain again the same relation.

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Authors and Affiliations

  1. Institut Henri Poincaré, Unité Associée au C.N.R.S. No. 769, Université Pierre et Marie Curie, 11, rue P. et M. Curie, 75231, Paris Cedex 05, France

    B. Linet

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  1. B. Linet
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Linet, B. The static metrics with cylindrical symmetry describing a model of cosmic strings. Gen Relat Gravit 17, 1109–1115 (1985). https://doi.org/10.1007/BF00774211

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  • DOI: https://doi.org/10.1007/BF00774211

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