Geodesic
On a Class of Generalized quasi-Einstein Manifolds with Applications to Relativity
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 111-127.

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Quasi Einstein manifold is a simple and natural generalization of Einstein manifold. The object of the present paper is to study some properties of generalized quasi Einstein manifolds. We also discuss $G(QE)_{4}$ with space-matter tensor and some properties related to it. Two non-trivial examples have been constructed to prove the existence of generalized quasi Einstein spacetimes.
Classification : 53B30, 53C25, 53C35, 53C50
Keywords: Einstein manifolds; quasi Einstein manifolds; generalized quasi Einstein manifolds; quasi-conformal curvature tensor; space-matter tensor 
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Mallick, Sahanous; De, Uday Chand. On a Class of Generalized quasi-Einstein Manifolds with Applications to Relativity. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 111-127. http://geodesic.mathdoc.fr/item/AUPO_2016__55_2_a9/