Conformal Yano-Killing tensors for the Taub-NUT metric

TL;DR

This paper explicitly constructs symmetric conformal Killing tensors and conformal Yano-Killing tensors for the Euclidean Taub-NUT metric, exploring their relations through conformal rescaling.

Contribution

It provides explicit forms of conformal Yano-Killing tensors for the Taub-NUT metric and analyzes their relations via conformal rescaling, advancing understanding of these geometric objects.

Findings

Explicit conformal Yano-Killing tensors for Taub-NUT metric

Relations between Yano and CYK tensors via conformal rescaling

Enhanced understanding of symmetries in Taub-NUT geometry

Abstract

Symmetric conformal Killing tensors and (skew-symmetric) conformal Yano-Killing tensors for Euclidean Taub-NUT metric are given in explicit form. Relations between Yano and CYK tensors in terms of conformal rescaling are discussed.