New currents with Killing-Yano tensors
Abstract
New relations involving the Riemann, Ricci and Einstein tensors that have to hold for a given geometry to admit Killing-Yano tensors are described. These relations are then used to introduce novel conserved "currents" involving such Killing-Yano tensors. For a particular current based on the Einstein tensor, we discuss the issue of conserved charges and consider implications for matter coupled to gravity. The condition on the background geometry to allow asymptotic conserved charges for a current introduced by Kastor and Traschen is found and a number of other new aspects of this current are commented on. In particular we show that it vanishes for rank Killing-Yano tensors in dimensions.
Keywords
Cite
@article{arxiv.2104.12451,
title = {New currents with Killing-Yano tensors},
author = {Ulf Lindström and Özgür Sarıoğlu},
journal= {arXiv preprint arXiv:2104.12451},
year = {2023}
}
Comments
1+21 pages, 1 table, no figures; version 2: clarifications added version 3: The d index raised in the middle formulae in (6.2) and (6.10). Makes the comments on (6.10) correct