Ricci collineations of the Bianchi type II, VIII, and IX space-times

Yavuz I., Camci U.

GENERAL RELATIVITY AND GRAVITATION, vol.28, no.6, pp.691-700, 1996 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 6
  • Publication Date: 1996
  • Doi Number: 10.1007/bf02104835
  • Journal Name: GENERAL RELATIVITY AND GRAVITATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.691-700
  • Çanakkale Onsekiz Mart University Affiliated: No

Abstract

Ricci and contracted Ricci collineations of the Bianchi type II, VIII, and IX space-times, associated with the vector fields of the form (i) one component of xi(alpha)(x(b)) is different from zero and (ii) two components of xi(alpha)(x(b)) are different from zero, for a, b = 1, 2, 3, 4, are presented. In subcase (i.b), which is xi(alpha) = (0, xi(1)(x(alpha)), 0, 0), some known solutions are found, and in subcase (i.d), which is xi(alpha) = (0, 0, 0, xi(4)(x(alpha))) choosing S(t) = const. x R(t), the Bianchi type II, VIII, and IX spacetime is reduced to the Robertson-Walker metric.