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Type O pure radiation metrics with a cosmological constant
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
Departmento de Matematica para a Ciencia e Tecnologia Universidade do Minho.
2007 (English)In: General Relativity and Gravitation, ISSN 0001-7701, Vol. 39, no 11, 1749-1772 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we complete the integration of the conformally flat pure radiation spacetimes with a non-zero cosmological constant Λ, and τ ≠ 0, by considering the case Λ +ττ ≠ 0. This is a further demonstration of the power and suitability of the generalised invariant formalism (GIF) for spacetimes where only one null direction is picked out by the Riemann tensor. For these spacetimes, the GIF picks out a second null direction (from the second derivative of the Riemann tensor) and once this spinor has been identified the calculations are transferred to the simpler GHP formalism, where the tetrad and metric are determined. The whole class of conformally flat pure radiation spacetimes with a non-zero cosmological constant (those found in this paper, together with those found earlier for the case Λ +ττ = 0) have a rich variety of subclasses with zero, one, two, three, four or five Killing vectors. © 2007 Springer Science+Business Media, LLC.

Place, publisher, year, edition, pages
2007. Vol. 39, no 11, 1749-1772 p.
National Category
URN: urn:nbn:se:liu:diva-39966DOI: 10.1007/s10714-007-0487-2Local ID: 51873OAI: diva2:260815
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2011-01-11

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