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

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 $\Lambda$. 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 $\Lambda$ 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 $\Lambda$, in which the acceleration of the pair of black holes becomes unbounded while their masses are scaled to zero.

11 pages, 2 figures. To appear in Classical and Quantum Gravity

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Cited by in corpus (5)

• Holographic Thermodynamics of Accelerating Black Holes
• The global uniqueness and $C^1$-regularity of geodesics in expanding impulsive gravitational waves
• Refraction of geodesics by impulsive spherical gravitational waves in constant-curvature spacetimes with a cosmological constant
• Absence of gyratons in the Robinson-Trautman class
• Electromagnetic vacuum stresses and energy fluxes induced by a cosmic string in de Sitter spacetime