Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/7701

 Title: Type O pure radiation metrics with a cosmological constant Author(s): Edgar, S. BrianRamos, M. P. Machado Keywords: Pure radiationInvariant formalism Issue date: Nov-2007 Publisher: Springer Journal: General Relativity and Gravitation Citation: "General Relativity and Gravitation". ISSN 0001-7701. 38:11(Nov. 2007) 1749-1772. Abstract(s): In this paper we complete the integration of the conformally flat pure radiation spacetimes with a non-zero cosmological constant $\Lambda$, and $\tau \ne 0$, by considering the case $\Lambda +\tau\bar\tau \ne 0$. 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. It is straightforward to deduce the Karlhede classification, and the Karlhede algorithm terminates at the fourth derivative order; the whole class of spacetimes (those found in this paper, together with those found earlier for the case $\Lambda +\tau\bar\tau = 0$) have a rich variety of subclasses with zero, one, two, three, four or five Killing vectors. Type: Article URI: http://hdl.handle.net/1822/7701 DOI: 10.1007/s10714-007-0487-2 ISSN: 0001-77011572-9532 Publisher version: http://www.springerlink.com/content/k6466kp84k66/?sortorder=asc&p_o=0 Peer-Reviewed: yes Access: Open access Appears in Collections: Offmath - Artigos (Papers)

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