Collineations of Godel-type space-times

DOI10.1063/1.529596zbMath0768.53039OpenAlexW2055264146MaRDI QIDQ4027900

L. A. Núñez, Umberto Percoco, Víctor M. Villalba, Alejandra Melfo

Publication date: 9 March 1993

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

Full work available at URL: https://doi.org/10.1063/1.529596

zbMATH Keywords

Ricci collineationscurvature collineationsaffine collineationshomothetic transformations

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)

Related Items (14)

The Ricci soliton equation and the structure of homogeneous Gödel-type spacetimes ⋮ Ricci and matter collineations in space-time ⋮ Ricci collineations for type \(B\) warped space-times ⋮ Totally geodesic and parallel hypersurfaces of Gödel-type spacetimes ⋮ Ricci bi-conformal vector fields on homogeneous Gödel-type spacetimes ⋮ Classification of spherically symmetric static space–times by their curvature collineations ⋮ Homogeneous geodesics and natural reductivity of homogeneous Gödel-type spacetimes ⋮ Potentials and point symmetries of Klein–Gordon equations in space-time homogenous Gödel-type metrics ⋮ CLASSIFICATIONS OF KANTOWSKI–SACHS, BIANCHI TYPES I AND III SPACETIMES ACCORDING TO RICCI COLLINEATIONS ⋮ Collineations of a symmetric 2-covariant tensor: Ricci collineations ⋮ Checking collineation vectors with REDUCE ⋮ Conformal vector fields and conformal-type collineations in space-times ⋮ Matter collineations in Kantowski-Sachs, Bianchi types I and III spacetimes ⋮ Constants of motion of geodesics equations. Examples

Cites Work

• On certain timelike symmetry properties and the evolution of matter field space-times that admit them
• Homogeneity of Riemannian space-times of Gödel type
• Isometries of homogeneous Gödel-type spacetimes
• Affine collineations in Riemannian spaces
• Ricci collineation vectors in fluid space-times
• Symmetries and conserved quantities in geodesic motion
• Affine collineations in space-time
• Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor
• An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation

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