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A snapping cosmic string in a de Sitter or anti-de Sitter universe

J. Podolsky·J. B. Griffiths
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Abstract

We present and describe an exact solution of Einstein's equations which represents a snapping cosmic string in a vacuum background with a cosmological constant $Λ$. The snapping of the string generates an impulsive spherical gravitational wave which is a particular member of a known family of such waves. The global solution for all values of $Λ$ is presented in various metric forms and interpreted geometrically. It is shown to represent the limit of a family of sandwich type N Robinson-Trautman waves. It is also derived as a limit of the C-metric with $Λ$, in which the acceleration of the pair of black holes becomes unbounded while their masses are scaled to zero.

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J. Podolsky, J. B. Griffiths. 2004-03-22. A snapping cosmic string in a de Sitter or anti-de Sitter universe. https://doi.org/10.1088/0264-9381%2F21%2F11%2F002

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