Regular stationary solutions of the cylindrically symmetric Einstein-matter-gauge equations
type: Item
instance of: scholarly article
title: Regular stationary solutions of the cylindrically symmetric Einstein-matter-gauge equations
zbMATH Open document ID: 0858.53068
author: Joel Spruck
author: Yisong Yang
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-03-10T00:00:00Z
review text: The paper establishes the existence of regular stationary solutions of the coupled Einstein-matter-gauge equations with cylindrical symmetry. Such solutions are called cosmic strings or gravitational vortices and are believed to have important implications in cosmology and quantum physics. It is shown that for a prescribed string location with a string or winding number below an explicit barrier, the system possesses a continuous family of distinct finite-energy solution configurations. The proof of the main existence theorem relies on a special shooting method.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 83C22
Mathematics Subject Classification ID: 35Q75
zbMATH DE Number: 861757
zbMATH Keywords: Einstein-Yang-Mills-Higgs equation
zbMATH Keywords: existence of regular stationary solutions
zbMATH Keywords: cosmic strings
reviewed by: Heinz Dehnen
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1349
OpenAlex ID: W2003703841
DOI: 10.1006/JMAA.1995.1349
description: scientific article; zbMATH DE number 861757