Quaternionic Taub-NUT from the harmonic space approach

TL;DR

This paper employs the harmonic space method to explicitly construct a quaternionic extension of the Taub-NUT metric, incorporating parameters for mass and cosmological constant, advancing geometric understanding in quaternionic differential geometry.

Contribution

It introduces a new explicit quaternionic extension of the Taub-NUT metric using harmonic space techniques, including parameters for mass and cosmological constant.

Findings

Explicit quaternionic Taub-NUT metric constructed

Dependence on mass and cosmological constant parameters demonstrated

Harmonic space approach effectively applied to complex geometric structures

Abstract

We use the harmonic space technique to construct explicitly a quaternionic extension of the Taub-NUT metric. It depends on two parameters, the first being the Taub-NUT `mass' and the second one the cosmological constant.