Volume comparison for Lorentzian warped products with integral curvature bounds
type: Item
instance of: scholarly article
title: Volume comparison for Lorentzian warped products with integral curvature bounds
zbMATH Open document ID: 1123.53019
author: Jong-Gug Yun
published in: Journal of Geometry and Physics
publication date: 2007-02-13T00:00:00Z
review text: The author associates in a sophisticated way to every globally hyperbolic \(n\)-dimensional space-time \((M,g)\) a Robertson-Walker space-time \((\overline M,\overline g)\). Here \(\overline g\) is built from the Riemannian metric \(h\) induced by \(g\) on space-like spheres and from a warping function \(f\) which satisfies a Jacobi differential equation. The volume of compact sets with respect to \(g\) and with respect to \(\overline g\) is compared in the spirit of Bishop-Gromov.
reviewed by: Rainer Schimming
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 5125276
zbMATH Keywords: globally hyperbolic space-time
zbMATH Keywords: Robertson-Walker space-time
zbMATH Keywords: volume comparison
zbMATH Keywords: Riccati equation
MaRDI profile type: Publication
full work available at URL: j.geomphys.2006.07.001
OpenAlex ID: W1968680482
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DOI: 10.1016/J.GEOMPHYS.2006.07.001
description: scientific article; zbMATH DE number 5125276