Obtaining a class of Type O pure radiation metrics with a cosmological constant, using invariant operators
arXiv:gr-qc/0604103 · doi:10.1007/s10714-006-0392-0
Abstract
Using the generalised invariant formalism we derive a class 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.
arXiv comment29 pages
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Cited by in corpus (4)
- On conformally flat and type N pure radiation metrics
- Petrov type D pure radiation fields of Kundt's class
- Invariant classification and the generalised invariant formalism: conformally flat pure radiation metrics, with zero cosmological constant
- Symmetry analysis of radiative spacetimes with a null isotropy using GHP formalism