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Using the generalised invariant formalism: a class of conformally flat pure radiation metrics with a negative cosmological constant

S Brian Edgar1 and M P Machado Ramos2

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We demonstrate an integration procedure for the generalised invariant formalism by obtaining a subclass of conformally flat pure radiation spacetimes with a negative cosmological constant. The method used is a development of the methods used earlier for pure radiation spacetimes of Petrov types O and N respectively. This subclass of spacetimes turns out to have one degree of isotropy freedom, so in this paper we have extended the integration procedure for the generalised invariant formalism to spacetimes with isotropy freedom,


PACS

04.20.Cv Fundamental problems and general formalism

04.20.Gz Spacetime topology, causal structure, spinor structure

Subjects

Gravitation and cosmology

Dates

Issue 1 (2007)



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