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arxiv: 1305.4304 · v1 · pith:QVNOWFPRnew · submitted 2013-05-18 · 🧮 math.DG

On generalized Robertson-Walker spacetimes satisfying some curvature condition

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keywords generalizedconditionmanifoldsrobertson-walkersomespacetimesbaseconditions
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We give necessary and sufficient conditions for warped product manifolds with 1-dimensional base, and in particular, for generalized Robertson-Walker spacetimes, to satisfy some generalized Einstein metric condition. We also construct suitable examples of such manifolds. They are quasi-Einstein or not.

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