Nonlocal Ernst Equations

2021/03/17 by Metin Gürses, Metin Gurses, Gurses, Metin
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #gr-qc #nlin.SI

paper · pdf · doi:10.48550/arxiv.2103.09486

Some parts are improved and a reference is added

openalex publication_date 2021/03/17 · arxiv created 2021/06/21 · arxiv updated 2021/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the Ernst equations for stationary axially symmetric Einstein-Maxwell and Einstein - N-abelian Yang-Mills field equations have local and nonlocal reductions. Among these reduced equations the nonlocal Ernst equations are new. We show that a class of these field equations admit reflection symmetry without requiring the asymptotical flatness.

Citations

• Integrable Nonlocal Nonlinear Equations

Related

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• Monodromy transform approach to solution of the Ernst equations in General Relativity