Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations
type: Item
instance of: scholarly article
title: Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations
zbMATH Open document ID: 0778.53026
DOI: 10.1007/BF02096771
published in: Communications in Mathematical Physics
publication date: 1993-05-16T00:00:00Z
review text: The authors prove that the Einstein Yang-Mills equations with \(SU(2)\) gauge group admit infinitely many globally defined nonsingular solutions, which are indexed by a coupling constant, have distinct winding numbers and their corresponding Einstein metrics decay at infinity to the flat Minkowski metric. Each solution has a finite (ADM) mass; these masses are not arbitrary constants, but are derived from the solutions.
Mathematics Subject Classification ID: 53C07
Mathematics Subject Classification ID: 83D05
zbMATH DE Number: 165687
zbMATH Keywords: orbits
zbMATH Keywords: static solutions
zbMATH Keywords: asymptotically flat
zbMATH Keywords: gauge group
zbMATH Keywords: winding numbers
author: Joel Smoller
author: Arthur G. Wasserman
reviewed by: Vladimir Balan
MaRDI profile type: Publication
cites work: Smooth static solutions of the Einstein/Yang-Mills equations
cites work: Republication of: The dynamics of general relativity
full work available at URL: https://doi.org/10.1007/bf02096771
OpenAlex ID: W2034758480
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description: scientific article; zbMATH DE number 165687