Integration in the GHP formalism. II: An operator approach for spacetimes with Killing vectors, with applications to twisting type \(N\)-spaces

DOI10.1023/A:1010200113770zbMath0868.53060arXivgr-qc/9605006MaRDI QIDQ674904

Garry Ludwig, S. Brian Edgar

Publication date: 6 March 1997

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9605006

zbMATH Keywords

Geroch-Held-Penrose formalismvacuum type \(N\) spaces

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

Integration in the GHP formalism. III: Finding conformally flat radiation metrics as an example of an `optimal situation' ⋮ The GHP formalism and a type \(N\) twisting vacuum metric with Killing vector ⋮ Symmetry analysis of radiative spacetimes with a null isotropy using GHP formalism ⋮ On twisting type [N ⊗ [N] Ricci flat complex spacetimes with two homothetic symmetries] ⋮ GHP: A maple package for performing calculations in the Geroch-Held-Penrose formalism ⋮ Integration in the GHP formalism. IV: A new Lie derivative operator leading to an efficient treatment of Killing vectors

Cites Work

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