Soliton solution in dilaton-Maxwell gravity

TL;DR

This paper applies the inverse scattering method to construct exact solutions in Maxwell-dilaton gravity, resulting in a rotating Kerr-like configuration with NUT parameter, advancing the understanding of complex gravitational systems.

Contribution

It introduces a novel application of the inverse scattering method to Maxwell-dilaton gravity, producing explicit exact solutions including a rotating Kerr-like spacetime with NUT parameter.

Findings

Constructed a Kerr-like solution with NUT parameter in Maxwell-dilaton gravity.

Demonstrated the use of Belinsky-Zakharov L-A pair in this context.

Extended the solution space of Einstein-Maxwell-dilaton systems.

Abstract

The inverse scattering problem method application to construction of exact solution for Maxwell dilaton gravity system ia considered. By use of Belinsky and Zakharov L - A pair the solution of the theory is constructed. The rotating Kerr - like configuration with NUT - parameter is obtained.