On Geroch’s limit of space-times and its relation to a new topology in the space of Lie groups

DOI10.1063/1.527457zbMath0631.58038OpenAlexW2085317083WikidataQ115332121 ScholiaQ115332121MaRDI QIDQ3768062

Hans-Jürgen Schmidt

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527457

zbMATH Keywords

scalar curvatureLie groupisometryRicci tensorcosmological spaceGeroch's limit

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Lie algebras of Lie groups (22E60) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30)

Related Items (3)

Inhomogeneous cosmological models with homogeneous inner hypersurface geometry ⋮ Limits of space–times in five dimensions and their relation to the Segre types ⋮ Scale-invariant gravity in two dimensions

Cites Work

• On Bianchi type-I vacuum solutions in \(R+R^ 2\) theories of gravitation. I: The isotropic case
• Curvatures of left invariant metrics on Lie groups
• A class of homogeneous cosmological models
• Classification of Four-Dimensional Riemannian Spaces
• Hyperspaces of quotient and subspaces I. Hausdorff topological spaces
• Topologies of the Hyperspace which Are Induced by Extension Spaces
• Intrinsic isometry groups in general relativity
• Approximate symmetry groups of inhomogeneous metrics: Examples

This page was built for publication: On Geroch’s limit of space-times and its relation to a new topology in the space of Lie groups