Systematic construction of Kastor-Traschen currents and their extensions to generic powers of curvature

Date

2023-10-15

Author

Ozkarsligil, Zeynep Tugce
Tekin, Bayram

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

29
views

6
downloads

Cite This

Kastor and Traschen constructed totally antisymmetric 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-four 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.

URI

https://hdl.handle.net/11511/107634

Collections

Department of Physics, Article