New currents with Killing-Yano tensors

Date

2021-10-01

Author

Lindstrom, Ulf
Sarıoğlu, Bahtiyar Özgür

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New relations involving the Riemann, Ricci and Einstein tensors that have to hold for a given geometry to admit Killing-Yano tensors (KYTs) are described. These relations are then used to introduce novel conserved 'currents' involving such KYTs. 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 (D - 1) KYTs in D dimensions.

URI

https://hdl.handle.net/11511/91930

Journal

CLASSICAL AND QUANTUM GRAVITY

DOI

https://doi.org/10.1088/1361-6382/ac1871

Collections

Department of Physics, Article

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Citation Formats

U. Lindstrom and B. Ö. Sarıoğlu, “New currents with Killing-Yano tensors,” CLASSICAL AND QUANTUM GRAVITY, vol. 38, no. 19, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/91930.