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

J Podolský1 and J B Griffiths2

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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.


PACS

04.20.Jb Exact solutions

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

04.70.-s Physics of black holes

04.30.-w Gravitational waves

MSC

83F05 Cosmology

83C57 Black holes

83C35 Gravitational waves

83C15 Exact solutions

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 11 (7 June 2004)

Received 6 February 2004

Published 24 April 2004



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