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Conformal Ricci collineations in LRS Bianchi type V spacetimes with perfect fluid matter

Fawad Khan

Department of Mathematics, University of Peshawar, Khyber Pakhtunkhwa, Pakistan

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Tahir Hussain

Department of Mathematics, University of Peshawar, Khyber Pakhtunkhwa, Pakistan

E-mail Address: tahirhussain@uop.edu.pk

Corresponding author

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, and

Sumaira Saleem Akhtar

Department of Mathematics, University of Peshawar, Khyber Pakhtunkhwa, Pakistan

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https://doi.org/10.1142/S0217732317501243Cited by:9 (Source: Crossref)

Abstract

Considering the perfect fluid as a source of energy–momentum tensor, we have classified locally rotationally symmetric (LRS) Bianchi type V spacetimes according to their conformal Ricci collineations (CRCs). It is shown that the LRS Bianchi type V spacetimes with perfect fluid matter admit 9- or 15-dimensional Lie algebra of CRCs when the Ricci tensor is non-degenerate, while the group of CRCs is infinite for degenerate Ricci tensor.

Keywords:

PACS: 04.20.Jb

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