Superpotentials and the cohomogeneity one Einstein equations
type: Item
instance of: scholarly article
title: Superpotentials and the cohomogeneity one Einstein equations
zbMATH Open document ID: 1097.53028
author: McKenzie Y. Wang
author: Andrew Dancer
published in: Communications in Mathematical Physics
publication date: 2006-03-21T00:00:00Z
review text: The authors provide a detailed analysis of the existence of superpotentials in the Ricci-flat case. They successfully use some ideas from convex geometry to prove an interesting classification theorem under suitable hypotheses, for superpotentials of the Hamiltonian form of the cohomogeneity one Ricci-flat equations. Some new examples of superpotentials which do not satisfy the non-null hypothesis are given and their associated first order systems are analyzed. Superpotentials for the case when the cosmological constant is nonzero are briefly discussed as well.
reviewed by: Raina Ivanova
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 37J05
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 5013715
zbMATH Keywords: superpotentials
zbMATH Keywords: Ricci-flat equations
zbMATH Keywords: constant coefficients
zbMATH Keywords: Einstein equations
MaRDI profile type: Publication
full work available at URL: s00220-005-1410-x
OpenAlex ID: W2022390604
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DOI: 10.1007/S00220-005-1410-X
description: scientific article; zbMATH DE number 5013715