Killing tensors in foliated spacetimes and photon surfaces
General Relativity and Quantum Cosmology
2021-10-12 v1 High Energy Physics - Theory
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.
Cite
@article{arxiv.2110.04608,
title = {Killing tensors in foliated spacetimes and photon surfaces},
author = {Kirill Kobialko and Igor Bogush and Dmitri Gal'tsov},
journal= {arXiv preprint arXiv:2110.04608},
year = {2021}
}
Comments
15 pages, to be submitted to the Proceedings of the 16th Marcel Grossmann meeting