Type O pure radiation metrics with a cosmological constant |
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Authors: | S Brian Edgar M P Machado Ramos |
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Institution: | 1.Department of Mathematics,Link?pings Universitet,Link?ping,Sweden;2.Departamento de Matemática para a Ciência e Tecnologia,Universidade do Minho,Azurém,Portugal |
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Abstract: | In this paper we complete the integration of the conformally flat pure radiation spacetimes with a non-zero cosmological constant
Λ, and , by considering the case . 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
) have a rich variety of subclasses with zero, one, two, three, four or five Killing vectors. |
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Keywords: | |
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