Homogeneous and conformally Ricci flat pure radiation fields

DOI10.1088/0264-9381/6/9/009zbMath0671.53052OpenAlexW2042951809MaRDI QIDQ3825018

Patrick Wils

Publication date: 1989

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0264-9381/6/9/009

zbMATH Keywords

Petrov typeconformally flat metricpure radiation fields

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Applications of local differential geometry to the sciences (53B50)

Related Items (13)

Coherent planar symmetric spacetimes generated by progressive waves of Nambu-Goldstone bosons ⋮ Gravitational waves in vacuum spacetimes with cosmological constant. I. Classification and geometrical properties of nontwisting type N solutions ⋮ Killing tensors in Koutras–Mcintosh spacetimes ⋮ Invariant classification and the generalised invariant formalism: Conformally flat pure radiation metrics ⋮ A Ricci soliton characterization of pure radiation metrics conformal to a vacuum space-time ⋮ Obtaining a class of type \(O\) pure radiation metrics with a negative cosmological constant, using invariant operators ⋮ Integration in the GHP formalism. III: Finding conformally flat radiation metrics as an example of an `optimal situation' ⋮ Dimension of the isometry group in spacetimes with an invariant frame ⋮ Weyl type N solutions with null electromagnetic fields in the Einstein-Maxwell \(p\)-form theory ⋮ Curvature properties of a special type of pure radiation metrics ⋮ A class of exact solutions of the Einstein–Dirac equations ⋮ Hawking–Ellis type III spacetime geometry ⋮ Integration in the GHP formalism. IV: A new Lie derivative operator leading to an efficient treatment of Killing vectors

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