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


Creative Commons License

Ozkarsligil Z. T., TEKİN B.

Physical Review D, vol.108, no.8, 2023 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 108 Issue: 8
  • Publication Date: 2023
  • Doi Number: 10.1103/physrevd.108.084050
  • Journal Name: Physical Review D
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, INSPEC, zbMATH
  • Middle East Technical University Affiliated: Yes

Abstract

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.