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

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Ozkarsligil Z. T., TEKİN B.

Physical Review D, cilt.108, sa.8, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 108 Sayı: 8
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1103/physrevd.108.084050
  • Dergi Adı: Physical Review D
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, INSPEC, zbMATH
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.