Limits of space–times in five dimensions and their relation to the Segre types

DOI10.1063/1.532091zbMath0885.53085arXivgr-qc/9606056OpenAlexW1976103608MaRDI QIDQ4351644

F. M. Paiva, A. F. F. Teixeira, M. J. Rebouças

Publication date: 2 April 1998

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9606056

zbMATH Keywords

general relativitySegre classificationKaluza-Klein spaceslimiting diagrams

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) 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) Kaluza-Klein and other higher-dimensional theories (83E15)

Related Items (2)

The Levi-Civita space–time as a limiting case of the γ space–time ⋮ An exact solution of the five-dimensional Einstein equations with four-dimensional de Sitter-like expansion

Cites Work

• On the algebraic structure of second order symmetric tensors in 5-dimensional space-times
• A spinor approach to general relativity
• Physical structure of the energy-momentum tensor in general relativity
• A review of the geometrical equivalence of metrics in general relativity
• 5D generalized inflationary cosmology
• On limits of spacetimes-a coordinate-free approach
• Einstein universe as a moving fluid cosmology
• On Geroch’s limit of space-times and its relation to a new topology in the space of Lie groups
• Kaluza–Klein equations, Einstein’s equations, and an effective energy-momentum tensor
• Homogeneous space-times with seven isometries
• Five-dimensional cosmological models in induced matter theory
• Classification of scalar fields in general relativity
• Classification of second order symmetric tensors in five-dimensional Kaluza–Klein-type theories

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