- Cankaya University Journal of Science and Engineering
- Vol: 16 Issue: 1
- Second Order Renormalization Group Flow on Warped Product Manifolds
Second Order Renormalization Group Flow on Warped Product Manifolds
Authors : Asadollah Razavi, Zoheir Toeiserkani
Pages : 81-97
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Publication Date : 2019-05-31
Article Type : Research
Abstract :In this work we have studied the evolution of a warped product (WP) manifold under second order renormalization group (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 (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