On the relationship between Killing-Yano tensors and electromagnetic fields on curved spaces
type: Item
instance of: scholarly article
title: On the relationship between Killing-Yano tensors and electromagnetic fields on curved spaces
zbMATH Open document ID: 0882.53066
DOI: 10.1023/A:1000391922854
author: Ng. Ibohal
published in: Astrophysics and Space Science
publication date: 1997-11-13T00:00:00Z
review text: In this article the author discusses Killing-Yano tensors (of order two) (skew symmetric tensors \(F_{ab}\) satisfying \(F_{ab;c} +F_{ac;b} =0)\) on spacetimes in general relativity. The paper starts with a nice review of the literature and discussion of the structure of Killing-Yano tensors and their integrability conditions in Newman-Penrose formalism. The author then continues to derive some general theorems and examples of metrics which admit such tensors. Unfortunately, most of these theorems (and more) and several of the examples are known [\textit{G. S. Hall}, Int. J. Theor. Phys. 26, 71-81 (1987; Zbl 0624.53042)]. The reviewer feels that, although the author has covered a wide range in his paper, a more geometrical approach would have made the study simpler. The examples of metrics given contain electrovac, perfect fluid, Bertotti-Robinson, Robertson-Walker, Kerr-Newman, Kantowski-Sachs and generalised \(pp\)-wave metrics. An extensive appendix on these metrics is provided.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 83C20
Mathematics Subject Classification ID: 83C50
zbMATH DE Number: 1086025
zbMATH Keywords: bivector symmetry
zbMATH Keywords: conserved quantity
zbMATH Keywords: Killing-Yano tensors
reviewed by: G. S. Hall
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1086025