Conformal Ricci collineations of static spherically symmetric spacetimes

Camci U., Qadir A., Saifullah K.

COMMUNICATIONS IN THEORETICAL PHYSICS, vol.49, no.6, pp.1527-1532, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 49 Issue: 6
  • Publication Date: 2008
  • Doi Number: 10.1088/0253-6102/49/6/38
  • Journal Name: COMMUNICATIONS IN THEORETICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1527-1532
  • Çanakkale Onsekiz Mart University Affiliated: Yes

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.