Higher Dimensional Taub-NUTs and Taub-Bolts in Einstein-Maxwell Gravity

TL;DR

This paper introduces a new class of higher-dimensional Einstein-Maxwell solutions that include parameters for electric charge and potential, expanding the understanding of Taub-NUT and Taub-Bolt space-times in various asymptotic backgrounds.

Contribution

It provides explicit higher-dimensional solutions with additional parameters and analyzes conditions for regularity and specific space-time types, including the four-dimensional case.

Findings

Solutions depend on electric charge and potential at infinity.

Conditions for Taub-Nut and Taub-Bolt space-times are established.

Mass depends on nut charge and electric parameters.

Abstract

We present a class of higher dimensional solutions to Einstein-Maxwell equations in d-dimensions. These solutions are asymptotically locally flat, de-Sitter, or anti-de Sitter space-times. The solutions we obtained depend on two extra parameters other than the mass and the nut charge. These two parameters are the electric charge, q and the electric potential at infinity, V, which has a non-trivial contribution. We Analyze the conditions one can impose to obtain Taub-Nut or Taub-Bolt space-times, including the four-dimensional case. We found that in the nut case these conditions coincide with that coming from the regularity of the one-form potential at the horizon. Furthermore, the mass parameter for the higher dimensional solutions depends on the nut charge and the electric charge or the potential at infinity.