Symmetries of vacuum type-N metrics

DOI10.1088/0264-9381/2/1/009zbMath0575.53048OpenAlexW1994439192MaRDI QIDQ3695970

Colin B. G. McIntosh

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1088/0264-9381/2/1/009

zbMATH Keywords

symmetrieshomothetic motionscurvature collineationsvacuum metricsconformal motionsHauser metricEinstein's vacuum

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) 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 (8)

Gyroscopic precession and centrifugal force in the Ernst spacetime ⋮ Single Kerr-Schild metrics: A double view ⋮ Integration in the GHP formalism. I: A coordinate approach with applications to twisting type \(N\) spaces ⋮ Expanding algebraically degenerate vacuum spaces with homothetic motions ⋮ On twisting type [N ⊗ [N] Ricci flat complex spacetimes with two homothetic symmetries] ⋮ Integration in the GHP formalism. II: An operator approach for spacetimes with Killing vectors, with applications to twisting type \(N\)-spaces ⋮ Type \(N\) twisting vacuum gravitational fields ⋮ The \(GHP\) conformal Killing equations and their integrability conditions, with application to twisting type \(N\) vacuum spacetimes

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