Publications de l'Institut Mathematique 2011 Volume 89, Issue 103, Pages: 95-104
doi:10.2298/PIM1103095D
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On super quasi Einstein manifold

Debnath Pratyay, Konar Arabinda

We study super quasi Einstein manifold and viscous fluid super quasi Einstein spacetime. The existence of super quasi Einstein manifold and viscous fluid super quasi Einstein spacetime are shown by two closely related examples. Also, some results involving super quasi Einstein manifold, pseudo quasi Einstein manifold and quasi Einstein manifold are established. Finally, the bounds of the cosmological constant in a viscous fluid super quasi Einstein spacetime are deduced.

Keywords: quasi Einstein manifold, parallel vector field, pseudo quasi Einstein manifold, viscous fluid space time

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