Integration in the GHP formalism. III: Finding conformally flat radiation metrics as an example of an `optimal situation'

DOI10.1023/A:1018820031537zbMath0893.53034arXivgr-qc/9701053OpenAlexW1598334780MaRDI QIDQ1384856

Garry Ludwig, S. Brian Edgar

Publication date: 16 August 1998

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9701053

zbMATH Keywords

Geroch-Held-Penrose formalismpure radiation metrics

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items

Coherent planar symmetric spacetimes generated by progressive waves of Nambu-Goldstone bosons ⋮ Invariant classification and the generalised invariant formalism: Conformally flat pure radiation metrics ⋮ Obtaining a class of type \(O\) pure radiation metrics with a negative cosmological constant, using invariant operators ⋮ Symmetry analysis of radiative spacetimes with a null isotropy using GHP formalism ⋮ Type 0 pure radiation metrics with a cosmological constant ⋮ Spin coefficients as Lanczos scalars: Underlying spinor relations ⋮ Some remarks on locally conformally flat static space–times ⋮ GHP: A maple package for performing calculations in the Geroch-Held-Penrose formalism ⋮ On conformally flat and type N pure radiation metrics

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