Nonlocal Ernst Equations

Published 17 Mar 2021 in gr-qc and nlin.SI | (2103.09486v2)

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.

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Metin Gurses

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