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arxiv: 1606.08018 · v1 · pith:FO4Q6ULRnew · submitted 2016-06-26 · 🧮 math.DG

On symmetries of generalized Robertson-Walker Space-times and applications

classification 🧮 math.DG
keywords generalizedrobertson-walkerspace-timessymmetriesfieldsriccivectoradmitting
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The purpose of the present article is to study and characterize sev- eral types of symmetries of generalized Robertson-Walker space-times. Con- formal vector fields, curvature and Ricci collineations are studied. Many im- plications for existence of these symmetries on generalied Robertson-Walker spacetimes are obtained. Finally, Ricci solitons on generalized Robertson- Walker space-times admitting conformal vector fields are investigated.

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