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Homothetic Ricci collineations of non-static spherically symmetric spacetimes with perfect fluid matter

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Non-static spherically symmetric spacetimes with perfect fluid matter are considered and their homothetic Ricci collineations (HRCs) are investigated for degenerate as well as non-degenerate Ricci tensor. The present analysis shows… Click to show full abstract

Non-static spherically symmetric spacetimes with perfect fluid matter are considered and their homothetic Ricci collineations (HRCs) are investigated for degenerate as well as non-degenerate Ricci tensor. The present analysis shows that, for non-degenerate Ricci tensor, the possible number of HRCs admitted by these spacetimes is 5, 6 or 7, while they possess 4, 11 or otherwise infinite number of HRCs when the Ricci tensor is degenerate.

Keywords: spherically symmetric; ricci; non static; symmetric spacetimes; spacetimes perfect; static spherically

Journal Title: Modern Physics Letters A
Year Published: 2018

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