A Ricci recurrent space-time with covariantly constant stress tensor is an Einstein space-time. We extend this result to Ricci recurrent space-times with torsion. The result is applied to the case of Riemann-Cartan space-times with spin density.
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Hangzhou Normal Univ, Sch Math, Hangzhou 311121, Peoples R ChinaHangzhou Normal Univ, Sch Math, Hangzhou 311121, Peoples R China
Li, Yanlin
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De Chand, Uday
De, Krishnendu
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Univ Burdwan, Dept Math, Kabi Sukanta Mahavidyalaya, Bhadreswar 712221, West Bengal, IndiaHangzhou Normal Univ, Sch Math, Hangzhou 311121, Peoples R China