Symmetries of the nontwisting type-N solutions with cosmological constant

DOI10.1063/1.525930zbMath0544.53023OpenAlexW2065181797MaRDI QIDQ3333671

Jerzy F. Plebański, Alberto D. García, Humberto Salazar

Publication date: 1983

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525930

zbMATH Keywords

Killing vectorsconformal symmtriesnontwisting type-N solutionsRobinson solutions

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 (14)

Siklos waves with torsion in 3D ⋮ Gravitational waves in vacuum spacetimes with cosmological constant. I. Classification and geometrical properties of nontwisting type N solutions ⋮ Conformal geometry of gravitational plane waves ⋮ Conformal symmetries and fixed points in space-time ⋮ Expanding algebraically degenerate vacuum spaces with homothetic motions ⋮ Homothety groups in space-time ⋮ Axially symmetric type N space-time with a naked curvature singularity and closed timelike curves ⋮ Homothetic motions and vacuum Robinson-Trautman solutions ⋮ Simply-transitive homothety groups ⋮ Vacuum type N space-times admitting homothetic vector fields with isolated fixed points ⋮ Special conformal symmetries in general relativity ⋮ Spacetimes with continuous linear isotropies. III: Null rotations ⋮ SPACETIMES WITH ALL SCALAR CURVATURE INVARIANTS IN TERMS OF A COSMOLOGICAL CONSTANT ⋮ Conformal vector fields and conformal-type collineations in space-times

Cites Work

• Einstein spaces and homothetic motions. I

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