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Conformal Ricci collineations of static spherically symmetric spacetimes

  • Camci Ugur*
  • , Asghar Qadir
  • , K. Saifullah
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

Conformal Ricci collineations of static spherically symmetric spacetimes are studied. The general form of the vector fields generating conformal Ricci collineations is found when the Ricci tensor is non-degenerate, in which case the number of independent conformal Ricci collineations is 15, the maximum number for four-dimensional manifolds. In the degenerate case it is found that the static spherically symmetric spacetimes always have an infinite number of conformal Ricci collineations. Some examples are provided which admit non-trivial conformal Ricci collineations, and perfect fluid source of the matter.

Original languageEnglish
Pages (from-to)1527-1532
Number of pages6
JournalCommunications in Theoretical Physics
Volume49
Issue number6
DOIs
StatePublished - 15 Jun 2008

Keywords

  • Conformal collineations
  • Ricci collineations
  • Static spherically symmetric spacetimes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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