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arXiv · 2607.18871

On Generalized (Conformal) Killing Tensors

Cynthia Arias·David Kopčan·David Kubiznak·Marek Milička
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Abstract

We study higher-rank generalized Killing tensors with mixed symmetries, providing a couple of examples and applications. It is shown that such objects naturally exist in higher-dimensional rotating black hole spacetimes, where they arise as partially contracted "squares" of Killing-Yano tensors and display interesting algebraic and differential properties. Motivated by conformal Killing tensors, a generalization of these objects that gives rise to parallel-transported tensors along null geodesics is proposed and shown to exist in higher-dimensional rotating black hole spacetimes.

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Cynthia Arias, David Kopčan, David Kubiznak, Marek Milička. 2026-07-21. On Generalized (Conformal) Killing Tensors. https://arxiv.org/abs/2607.18871

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