Killing-Yano forms of a class of spherically symmetric space-times: A unified generation of higher forms

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Acik O., Ertem U., ÖNDER M., Vercin A.

JOURNAL OF MATHEMATICAL PHYSICS, vol.51, no.2, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 51 Issue: 2
  • Publication Date: 2010
  • Doi Number: 10.1063/1.3290761
  • Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Hacettepe University Affiliated: Yes

Abstract

Killing-Yano (KY) 2- and 3-forms of a class of spherically symmetric space-times that includes the well-known Minkowski, Schwarzschild, Reissner-Nordstrom, Robertson-Walker, and six different forms of de Sitter space-times as special cases are derived in a unified and exhaustive manner. It is directly proved that while the Schwarzschild and Reissner-Nordstrom space-times do not accept any KY 3-form and they accept only one 2-form, the Robertson-Walker space-time admits four KY 2-forms and only one KY 3-form. Maximal number of KY forms is obtained for Minkowski and all known forms of de Sitter space-times. Complete lists comprising explicit expressions of KY forms are given. (C) 2010 American Institute of Physics. [doi: 10.1063/1.3290761]