A class of charged-Taub-NUT-scalar metrics via Harison and Ehlers Transformations

TL;DR

This paper constructs new exact solutions to Einstein's equations by combining Harrison and Ehlers transformations to generate charged-Taub-NUT metrics with scalar fields, and explores their astrophysical implications like lensing and QNMs.

Contribution

It introduces a novel class of charged-Taub-NUT metrics with scalar fields obtained through transformation techniques, expanding the solution space of Einstein's equations.

Findings

Derived explicit charged-Taub-NUT solutions with scalar fields.

Analyzed gravitational lensing and quasi-normal modes of these metrics.

Provided insights into astrophysical phenomena associated with the new solutions.

Abstract

We consider a class of axially symmetric solutions to Einstein's equations incorporating a $\theta$-dependent scalar field and extend these solutions by introducing electric and magnetic charges via Harrison transformations. Subsequently, we enhance the charged metrics by incorporating the NUT parameter through Ehlers transformations, yielding a novel class of charged-Taub-NUT metrics that represent exact solutions to Einstein's equations. Finally, we investigate some of astrophysical aspects of the charged-Taub-NUT metrics, focusing on phenomena such as gravitational lensing and quasi-normal modes (QNMs).