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# Generalised Kundt waves and their physical interpretation

preprint

posted on 2005-07-29, 15:36 authored by Jerry Griffiths, Peter Docherty, J. PodolskyWe present the complete family of space-times with a non-expanding, shear-free, twist-free,
geodesic principal null congruence (Kundt waves) that are of algebraic type III and for
which the cosmological constant (Λc) is non-zero. The possible presence of an aligned pure
radiation field is also assumed. These space-times generalise the known vacuum solutions
of type N with arbitrary Λc and type III with Λc = 0. It is shown that there are two, one
and three distinct classes of solutions when Λc is respectively zero, positive and negative.
The wave surfaces are plane, spherical or hyperboloidal in Minkowski, de Sitter or antide
Sitter backgrounds respectively, and the structure of the family of wave surfaces in the
background space-time is described. The weak singularities which occur in these space-times
are interpreted in terms of envelopes of the wave surfaces.

## History

## School

- Science

## Department

- Mathematical Sciences

## Pages

352429 bytes## Publication date

2003## Notes

This pre-print has been submitted, and accepted, to the journal, Classical and Quantum Gravity [© Institute of Physics]. The definitive version: GRIFFITHS, J.B., DOCHERTY, P. and PODOLSKY, J., 2004. Generalised Kundt waves and their physical interpretation. Classical and Quantum Gravity, 21(1), pp.207-222, is available at: http://www.iop.org/EJ/journal/CQG.## Language

- en