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Generalised Kundt waves and their physical interpretation | | J. B. Griffiths
; P. Docherty
; J. Podolsky
; | | Date: |
16 Oct 2003 | | Journal: | Class.Quant.Grav. 21 (2004) 207-222 | | Subject: | gr-qc | | Abstract: | We 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 ($Lambda_c$) 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 $Lambda_c$ and type III with $Lambda_c=0$. It is shown that there are two, one and three distinct classes of solutions when $Lambda_c$ is respectively zero, positive and negative. The wave surfaces are plane, spherical or hyperboloidal in Minkowski, de Sitter or anti-de 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. | | Source: | arXiv, gr-qc/0310083 | | Services: | Forum | Review | PDF | Favorites | |
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