Homogeneous space-times with seven isometries

DOI10.1063/1.529554zbMath0776.53016OpenAlexW2140416316MaRDI QIDQ4032278

A. F. F. Teixeira, M. J. Rebouças

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1063/1.529554

zbMATH Keywords

Weyl tensorconformally flatenergy- momentum tensorGödel type metricEinstein static-typehomogeneous conformally flat plane waveKilling vector structure

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (9)

Segre types of symmetric two-tensors in \(n\)-dimensional spacetimes ⋮ Exact solutions of Bianchi I spacetimes which admit conformal Killing vectors ⋮ Classification of second order symmetric tensors in five-dimensional Kaluza–Klein-type theories ⋮ Limits of space–times in five dimensions and their relation to the Segre types ⋮ On the algebraic structure of second order symmetric tensors in 5-dimensional space-times ⋮ Symmetries of Bianchi I space–times ⋮ Classification of scalar fields in general relativity ⋮ Spacetimes with continuous linear isotropies. II: Boosts ⋮ GÖDEL-TYPE UNIVERSES IN f(T) GRAVITY

Cites Work

• A review of the geometrical equivalence of metrics in general relativity
• Time travel in Goedel's space
• Homogeneity of Riemannian space-times of Gödel type
• Isometries of homogeneous Gödel-type spacetimes
• Einstein universe as a moving fluid cosmology
• Computer-aided classification of the Ricci tensor in general relativity
• Homogeneous space-times of Gödel-type in higher-derivative gravity
• Notes on a class of homogeneous space-times
• Computer-aided study of a class of Riemannian space-times
• Note on the Kerr Spinning-Particle Metric
• An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation

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