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Obtaining a class of Type O pure radiation metrics with a negative cosmological constant, using invariant operators
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
Departamento de Mathematica  Universidade do Minho, Guimaraes, Portugal.
2007 (English)In: General Relativity and Gravitation, ISSN 0001-7701, Vol. 39, 539-566 p.Article in journal (Refereed) Published
Abstract [en]

Using the generalised invariant formalism we derive a special subclass of conformally flat spacetimes whose Ricci tensor has a pure radiation and a Ricci scalar component. The method used is a development of the methods used earlier for pure radiation spacetimes of Petrov types O and N, respectively. In this paper we demonstrate how to handle, in the generalised invariant formalism, spacetimes with isotropy freedom and rich Killing vector structure. Once the spacetimes have been constructed, it is straightforward to deduce their Karlhede classification: the Karlhede algorithm terminates at the fourth derivative order, and the spacetimes all have one degree of null isotropy and three, four or five Killing vectors.

Place, publisher, year, edition, pages
2007. Vol. 39, 539-566 p.
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URN: urn:nbn:se:liu:diva-36071DOI: 10.1007/s10714-006-0392-0Local ID: 29745OAI: diva2:256919
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2011-01-11

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