Application of Monodromy Transform Method to Solution of Einstein - Maxwell Equations with Isometries
G.A.Alekseev

TL;DR
This paper applies the monodromy transform method to find exact solutions of Einstein-Maxwell equations with symmetries, providing new solutions and demonstrating the method's effectiveness in solving complex field equations.
Contribution
It introduces the application of the monodromy transform approach to Einstein-Maxwell equations, resulting in new exact solutions with isometries.
Findings
New exact solutions of Einstein-Maxwell equations are constructed.
The monodromy transform method proves effective for solving electrovacuum field equations.
Examples demonstrate the method's potential for generating solutions with symmetries.
Abstract
Applications of the monodromy transform approach to construction of exact solutions of electrovacuum Einstein - Maxwell field equations are considered. Examples of new solutions are given.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Iterative Methods for Nonlinear Equations · Numerical methods for differential equations
