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arXiv · 2308.05573

A Systematic Construction of Kastor-Traschen Currents and their Extensions to Generic Powers of Curvature

Zeynep Tugce Ozkarsligil·Bayram Tekin
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Abstract

Kastor and Traschen constructed totally anti-symmetric conserved currents that are linear in the Riemann curvature in spacetimes admitting Killing-Yano tensors. The construction does not refer to any field equations and is built on the algebraic and differential symmetries of the Riemann tensor as well as on the Killing-Yano equation. Here we give a systematic generalization of their work and find divergence-free currents that are built from the powers of the curvature tensor. A rank-4 divergence-free tensor that is constructed from the powers of the curvature tensor plays a major role here and it comes from the Lanczos-Lovelock theory.

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Zeynep Tugce Ozkarsligil, Bayram Tekin. 2023-08-10. A Systematic Construction of Kastor-Traschen Currents and their Extensions to Generic Powers of Curvature. https://doi.org/10.1103/physrevd.108.084050

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