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- Title
Classification of locally rotationally symmetric Bianchi-I space-times using conformal Ricci collineations.
- Authors
Hussain, T.; Akhtar, S.; Khan, F.
- Abstract
We present a complete classification of locally rotationally symmetric (LRS) Bianchi-I space-times in accordance with their conformal Ricci collineations (CRCs). In the case where the Ricci tensor is nondegenerate, we find a general form of the vector field generating CRCs subject to some integrability conditions. Solving the integrability conditions in different cases, we find that the LRS Bianchi-I space-times admit 7-, 10-, 11-, or 15-dimensional Lie algebras of CRCs in the case where the Ricci tensor is nondegenerate. Moreover, we find that these space-times admit an infinite number of CRCs if the Ricci tensor is degenerate. We give some examples of LRS Bianchi-I space-times that admit nontrivial CRCs and are models of a perfect fluid.
- Subjects
SPACETIME; RICCI flow; CONFORMAL field theory; SYMMETRY (Physics); COLLINEATION
- Publication
Theoretical & Mathematical Physics, 2017, Vol 193, Issue 1, p1524
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577917100099