Non-static spherically symmetric spacetimes and their conformal Ricci collineations

Fawad Khan; Tahir Hussain; Ashfaque Hussain Bokhari; Sumaira Saleem Akhtar

doi:10.1007/s40065-019-0249-5

Non-static spherically symmetric spacetimes and their conformal Ricci collineations

Fawad Khan, Tahir Hussain^*, Ashfaque Hussain Bokhari, Sumaira Saleem Akhtar

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

For a perfect fluid matter, we present a study of conformal Ricci collineations (CRCs) of non-static spherically symmetric spacetimes. For non-degenerate Ricci tenor, a vector field generating CRCs is found subject to certain integrability conditions. These conditions are then solved in various cases by imposing certain restrictions on the Ricci tensor components. It is found that non-static spherically symmetric spacetimes admit 5, 6 or 15 CRCs. In the degenerate case, it is concluded that such spacetimes always admit infinite number of CRCs.

Original language	English
Pages (from-to)	393-400
Number of pages	8
Journal	Arabian Journal of Mathematics
Volume	9
Issue number	2
DOIs	https://doi.org/10.1007/s40065-019-0249-5
State	Published - 1 Aug 2020

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Publisher Copyright:
© 2019, The Author(s).

ASJC Scopus subject areas

General Mathematics

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title = "Non-static spherically symmetric spacetimes and their conformal Ricci collineations",

abstract = "For a perfect fluid matter, we present a study of conformal Ricci collineations (CRCs) of non-static spherically symmetric spacetimes. For non-degenerate Ricci tenor, a vector field generating CRCs is found subject to certain integrability conditions. These conditions are then solved in various cases by imposing certain restrictions on the Ricci tensor components. It is found that non-static spherically symmetric spacetimes admit 5, 6 or 15 CRCs. In the degenerate case, it is concluded that such spacetimes always admit infinite number of CRCs.",

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T1 - Non-static spherically symmetric spacetimes and their conformal Ricci collineations

AU - Khan, Fawad

AU - Hussain, Tahir

AU - Bokhari, Ashfaque Hussain

AU - Akhtar, Sumaira Saleem

PY - 2020/8/1

Y1 - 2020/8/1

N2 - For a perfect fluid matter, we present a study of conformal Ricci collineations (CRCs) of non-static spherically symmetric spacetimes. For non-degenerate Ricci tenor, a vector field generating CRCs is found subject to certain integrability conditions. These conditions are then solved in various cases by imposing certain restrictions on the Ricci tensor components. It is found that non-static spherically symmetric spacetimes admit 5, 6 or 15 CRCs. In the degenerate case, it is concluded that such spacetimes always admit infinite number of CRCs.

AB - For a perfect fluid matter, we present a study of conformal Ricci collineations (CRCs) of non-static spherically symmetric spacetimes. For non-degenerate Ricci tenor, a vector field generating CRCs is found subject to certain integrability conditions. These conditions are then solved in various cases by imposing certain restrictions on the Ricci tensor components. It is found that non-static spherically symmetric spacetimes admit 5, 6 or 15 CRCs. In the degenerate case, it is concluded that such spacetimes always admit infinite number of CRCs.

UR - https://www.scopus.com/pages/publications/85081309809

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DO - 10.1007/s40065-019-0249-5

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VL - 9

SP - 393

EP - 400

JO - Arabian Journal of Mathematics

JF - Arabian Journal of Mathematics

IS - 2

ER -

Non-static spherically symmetric spacetimes and their conformal Ricci collineations

Abstract

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