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Classification of LRS Bianchi type I Spacetimes via Conformal Ricci Collineations | | Tahir Hussain
; Sumaira Saleem Akhtar
; Fawad Khan
; | | Date: |
19 Jan 2017 | | Abstract: | In this paper, we present a complete classification of Locally Rotationally
Symmetric (LRS) Bianchi type I spacetimes according to their Conformal Ricci
Collineations (CRCs). When the Ricci tensor is non-degenerate, a general form
of the vector field generating CRCs is found, subject to some integrability
conditions. Solving the integrability conditions in different cases, it is
found that the LRS Bianchi type I spacetimes admit 7, 10, 11 or 15- dimensional
Lie algebra of CRCs for the choice of non-degenerate Ricci tensor. Moreover, it
is found that these spacetimes admit infinite number of CRCs when the Ricci
tensor is degenerate. Some examples of perfect fluid LRS Bianchi type I
spacetime metrics are provided admitting non trivial CRCs. | | Source: | arXiv, 1701.6900 | | Services: | Forum | Review | PDF | Favorites | |
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