Notes on a class of homogeneous space-times

DOI10.1063/1.527952zbMath0646.53057OpenAlexW1998593614MaRDI QIDQ3790261

A. F. F. Teixeira, M. J. Rebouças, W. M. Jun. Silva, M. O. Calvão

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527952

zbMATH Keywords

causalityclosed time-like curvesstably causalGödel-type space-times

Mathematics Subject Classification ID

General relativity (83C99) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (18)

Rotating dust solutions of Einstein’s equations with three-dimensional symmetry groups. III. All Killing fields linearly independent of uα and wα ⋮ Riemannian space-times of Gödel type in five dimensions ⋮ Gödel-type space–times in induced matter gravity theory ⋮ Segre types of symmetric two-tensors in \(n\)-dimensional spacetimes ⋮ The Ricci soliton equation and the structure of homogeneous Gödel-type spacetimes ⋮ Homogeneous space-times with seven isometries ⋮ Totally geodesic and parallel hypersurfaces of Gödel-type spacetimes ⋮ Ricci bi-conformal vector fields on homogeneous Gödel-type spacetimes ⋮ A survey on the Klein–Gordon equation in the Gödel-type space-times ⋮ Classification of second order symmetric tensors in five-dimensional Kaluza–Klein-type theories ⋮ Homogeneous geodesics and natural reductivity of homogeneous Gödel-type spacetimes ⋮ Gödel solution in the bumblebee gravity ⋮ FEATURES OF A ROTATING SPACETIME ⋮ Fermi field and Dirac oscillator in a Som-Raychaudhuri space-time ⋮ Weyl fermions in a family of Gödel-type geometries with a topological defect ⋮ Geodesics in Gödel-type space-times ⋮ Investigation of a spin-0 massive charged particle subject to a homogeneous magnetic field with potentials in a topologically trivial flat class of Gödel-type space-time ⋮ A Note on the Thermodynamic Properties of a Scalar Field in a Rotating Space–Time

Cites Work

• Homogeneity of Riemannian space-times of Gödel type
• Isometries of homogeneous Gödel-type spacetimes
• Homogeneous space-times of Gödel-type in higher-derivative gravity
• Computer-aided study of a class of Riemannian space-times
• A Remarkable Property of Plane Waves in General Relativity
• The existence of cosmic time functions
• An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation

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