An equivalence theorem for string solutions of the Einstein matter-gauge equations
type: Item
instance of: scholarly article
title: An equivalence theorem for string solutions of the Einstein matter-gauge equations
zbMATH Open document ID: 0779.53058
DOI: 10.1007/BF00398804
author: Yisong Yang
published in: Letters in Mathematical Physics
publication date: 1993-04-20T00:00:00Z
review text: The author studies static solutions to Einstein field equations for a self-gravitating complex scalar field minimally coupled to electromagnetism, representing finite energy cosmic string spacetimes. It is shown that in this class of solutions and when the two-dimensional Riemannian manifold in which the strings reside is either compact or asymptotically Euclidean, the field equations are equivalent to a system of Einstein-Bogomol'nyj equations. Then it is proven that within this class of solutions the string manifold cannot be both conformally and asymptotically Euclidean.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 83E30
Mathematics Subject Classification ID: 83C20
zbMATH DE Number: 109497
zbMATH Keywords: Einstein field equations
zbMATH Keywords: cosmic string
zbMATH Keywords: Einstein-Bogomol'nyj equations
reviewed by: Leszek M. Sokołowski
MaRDI profile type: Publication
cites work: Vortices in holomorphic line bundles over closed Kähler manifolds
cites work: Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
cites work: Elliptic Partial Differential Equations of Second Order
cites work: Q3906754
cites work: On the supermassive U(1) gauge cosmic strings
cites work: Yang–Mills–Higgs theory on a compact Riemann surface
cites work: On Witten's proof of the positive energy theorem
cites work: Non-self-dual Yang-Mills connections with quadrupole symmetry
cites work: On the proof of the positive mass conjecture in general relativity
cites work: Solutions to Yang—Mills equations that are not self-dual
cites work: The existence of non-topological solitons in the self-dual Chern-Simons theory
cites work: On the equivalence of the first and second order equations for gauge theories
cites work: The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on \(R^ 3.\) I
cites work: Cosmic strings and domain walls
cites work: Vortices on asymptotically Euclidean Riemann surfaces
description: scientific article; zbMATH DE number 109497