Killing tensors as space-time metrics
type: Item
instance of: scholarly article
title: Killing tensors as space-time metrics
zbMATH Open document ID: 0918.53029
author: Franz Hinterleitner
published in: Annals of Physics
publication date: 1999-08-10T00:00:00Z
review text: Symmetric Killing tensors of order two associated with the separation of the Klein-Gordon equation are considered as metrics. Next from the Stäckel system of any considered coordinate system an \(n-1\)-parameter family of metrics is generated. These Killing metrics taken from the associated Stäckel system generate massive solutions of the Einstein equations with the source of curvature at rest with respect to the coordinates. The conformal relationships between the conformally flat Killing metrics and the original flat ones are also described.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 83C05
zbMATH DE Number: 1251233
zbMATH Keywords: Killing tensor
zbMATH Keywords: Klein-Gordon equation
zbMATH Keywords: Einstein tensor
zbMATH Keywords: Stäckel system
reviewed by: Marian Hotloś
MaRDI profile type: Publication
full work available at URL: aphy.1998.5870
OpenAlex ID: W1984760136
cites work: Killing Tensors and Variable Separation for Hamilton-Jacobi and Helmholtz Equations
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cites work: Integrability, Stäckel spaces, and rational potentials
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cites work: Lie theory and separation of variables. 9. Orthogonal R-separable coordinate systems for the wave equation ψt t−Δ2ψ=0
cites work: Q3322013
DOI: 10.1006/APHY.1998.5870
description: scientific article; zbMATH DE number 1251233