An interpretation of Robinson-Trautman type N solutions

Abstract

The Robinson-Trautman type N solutions, which describe expanding gravitational waves, are investigated for all possible values of the cosmological constant Lambda and the curvature parameter epsilon. The wave surfaces are always (hemi-)spherical, with successive surfaces displaced in a way which depends on epsilon. Explicit sandwich waves of this class are studied in Minkowski, de Sitter or anti-de Sitter backgrounds. A particular family of such solutions which can be used to represent snapping or decaying cosmic strings is considered in detail, and its singularity and global structure is presented.

13 pages, 3 figures. To appear in Class. Quantum Grav

References in corpus (1)

• A disintegrating cosmic string

Cited by in corpus (14)

• Superboost transitions, refraction memory and super-Lorentz charge algebra
• The Poincaré and BMS flux-balance laws with application to binary systems
• The Weyl double copy in vacuum spacetimes with a cosmological constant
• Asymptotic Structure with a positive cosmological constant
• Geodesics in spacetimes with expanding impulsive gravitational waves
• 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
• On the Various Extensions of the BMS Group
• Robinson--Trautman solution with nonlinear electrodynamics
• Radiation in Fluid/Gravity and the Flat Limit
• Obtaining a class of Type O pure radiation metrics with a cosmological constant, using invariant operators
• A snapping cosmic string in a de Sitter or anti-de Sitter universe
• Type O pure radiation metrics with a cosmological constant
• Symmetry analysis of radiative spacetimes with a null isotropy using GHP formalism