Second Order Renormalization Group Flow on Warped Product Manifolds

Authors : Asadollah RAZAVİ, Zoheir TOEİSERKANİ

Pages : 81-97

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Publication Date : 2019-05-31

Article Type : Research Paper

Abstract :In this work we have studied the evolution of a warped product insert ignore into journalissuearticles values(WP); manifold under second order renormalization group insert ignore into journalissuearticles values(RG-2); flow. We have shown some conditions for the existence of a solution of RG-2 flow on WP manifolds. Also, we have found a necessary condition for warped function under RG-2 flow. In particular, we study some special WP metric of real line with a manifold. Eventually, by extending conditions to pseudo-Riemannian manifold, we find a PDE for Robertson-Walker insert ignore into journalissuearticles values(RW); metrics, and show that there is no RG-2 flow for RW metrics.
Keywords : Ricci flow, second order renormalization group flow, warped product manifold