A Systematic Construction of Kastor-Traschen Currents and their Extensions to Generic Powers of Curvature
arXiv:2308.05573 · doi:10.1103/PhysRevD.108.084050
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.
arXiv comment11 pages, v2 matches the published version
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