The \(GHP\) conformal Killing equations and their integrability conditions, with application to twisting type \(N\) vacuum spacetimes

DOI10.1007/BF00757073zbMath0786.53050OpenAlexW263518409MaRDI QIDQ1309313

Garry Ludwig, Charalampos A. Kolassis

Publication date: 3 May 1994

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

Full work available at URL: https://doi.org/10.1007/bf00757073

zbMATH Keywords

compact spin coefficient formalism for arbitrary spacetimesnon-Abelian group of homothetic motionssets of metrics

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of differential geometry to physics (53Z05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items

(Conformal) Killing vectors in the Newman-Penrose formalism ⋮ Gyroscopic precession and centrifugal force in the Ernst spacetime ⋮ Integration in the GHP formalism. I: A coordinate approach with applications to twisting type \(N\) spaces ⋮ TYPE N PURE RADIATION FIELDS OF EMBEDDING CLASS ONE ⋮ Integration in the GHP formalism. II: An operator approach for spacetimes with Killing vectors, with applications to twisting type \(N\)-spaces ⋮ On Killing vector fields and Newman–Penrose constants ⋮ 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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