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arXiv · 2110.04608

Killing tensors in foliated spacetimes and photon surfaces

Kirill Kobialko·Igor Bogush·Dmitri Gal'tsov
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Abstract

We discuss a recently proposed geometric method for constructing a nontrivial Killing tensor of rank two in a foliated spacetime of codimension one that lifts trivial Killing tensors from slices to the entire manifold. The existence of nontrivial Killing tensor is closely related to generalized photon surfaces. The method is illustrated in some known cases and used to construct the hitherto unknown Killing tensor for the Nutty dyon in dilaton-axion gravity.

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Kirill Kobialko, Igor Bogush, Dmitri Gal'tsov. 2021-10-09. Killing tensors in foliated spacetimes and photon surfaces. https://arxiv.org/abs/2110.04608

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