Regular stationary solutions of the cylindrically symmetric Einstein-matter-gauge equations

DOI10.1006/jmaa.1995.1349zbMath0858.53068OpenAlexW2003703841MaRDI QIDQ1909993

Yisong Yang, Joel Spruck

Publication date: 10 March 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1995.1349

zbMATH Keywords

cosmic stringsEinstein-Yang-Mills-Higgs equationexistence of regular stationary solutions

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) PDEs in connection with relativity and gravitational theory (35Q75) Einstein-Maxwell equations (83C22)

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Existence of nontopological solutions of the self-dual Einstein-Maxwell-Higgs equations on compact surfaces ⋮ Bubbling string solutions for the self-dual Einstein-Maxwell-Higgs equation ⋮ Classification of string solutions for the self-dual Einstein-Maxwell-Higgs model ⋮ The Yang-Mills-Higgs functional on complex line bundles: \(\Gamma\)-convergence and the London equation ⋮ Mountain pass solution for the self-dual Einstein–Maxwell–Higgs model on compact surfaces ⋮ Existence of topological multi-string solutions in Abelian gauge field theories ⋮ Gravitating vortices, cosmic strings, and the Kähler-Yang-Mills equations ⋮ On the self-dual Einstein-Maxwell-Higgs equation on compact surfaces

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