On conformally flat and type N pure radiation metrics

We study pure radiation spacetimes of algebraic types O and N with a possible cosmological constant. In particular, we present explicit transformations which put these metrics, that were recently re-derived by Edgar, Vickers and Machado Ramos, into a general Ozsváth–Robinson–Rózga form. By putting a...

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Bibliographic Details
Published inGeneral relativity and gravitation Vol. 41; no. 5; pp. 1069 - 1081
Main Authors Podolský, Jiří, Prikryl, Ondřej
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.05.2009
Subjects
Astronomy
Astrophysics and Cosmology
Classical and Quantum Gravitation
Differential Geometry
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Research Article
Theoretical
Conformally flat solutions
Pure radiation
Kundt spacetimes
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Summary:We study pure radiation spacetimes of algebraic types O and N with a possible cosmological constant. In particular, we present explicit transformations which put these metrics, that were recently re-derived by Edgar, Vickers and Machado Ramos, into a general Ozsváth–Robinson–Rózga form. By putting all such metrics into the unified coordinate system we confirm that their derivation based on the GIF formalism is correct. We identify only few trivial differences.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-008-0692-7