An equivalence theorem for string solutions of the Einstein matter-gauge equations

DOI10.1007/BF00398804zbMath0779.53058MaRDI QIDQ1202937

Yisong Yang

Publication date: 20 April 1993

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Einstein field equationscosmic stringEinstein-Bogomol'nyj equations

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Applications of differential geometry to physics (53Z05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items (7)

Gravitating BPS skyrmions ⋮ Prescribing topological defects for the coupled Einstein and Abelian Higgs equations ⋮ Classification of string solutions for the self-dual Einstein-Maxwell-Higgs model ⋮ Mountain pass solution for the self-dual Einstein–Maxwell–Higgs model on compact surfaces ⋮ Obstructions to the existence of solutions of the self-dual Einstein-Maxwell-Higgs equations on a compact surface ⋮ Gravitating vortices, cosmic strings, and the Kähler-Yang-Mills equations ⋮ On the self-dual Einstein-Maxwell-Higgs equation on compact surfaces

Cites Work

• Unnamed Item
• On Witten's proof of the positive energy theorem
• The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on \(R^ 3.\) I
• On the equivalence of the first and second order equations for gauge theories
• Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
• Non-self-dual Yang-Mills connections with quadrupole symmetry
• The existence of non-topological solitons in the self-dual Chern-Simons theory
• On the proof of the positive mass conjecture in general relativity
• Vortices in holomorphic line bundles over closed Kähler manifolds
• Solutions to Yang—Mills equations that are not self-dual
• Yang–Mills–Higgs theory on a compact Riemann surface
• Vortices on asymptotically Euclidean Riemann surfaces
• Elliptic Partial Differential Equations of Second Order
• On the supermassive U(1) gauge cosmic strings
• Cosmic strings and domain walls

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