English

Nonlocal Ernst Equations

General Relativity and Quantum Cosmology 2021-06-22 v2 Exactly Solvable and Integrable Systems

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.

Keywords

Cite

@article{arxiv.2103.09486,
  title  = {Nonlocal Ernst Equations},
  author = {Metin Gurses},
  journal= {arXiv preprint arXiv:2103.09486},
  year   = {2021}
}

Comments

Some parts are improved and a reference is added

R2 v1 2026-06-24T00:15:52.321Z