Second Order Renormalization Group Flow on Warped Product Manifolds
Second Order Renormalization Group Flow on Warped Product Manifolds
In this work we have studied the evolution of a warped product (WP) manifold under second orderrenormalization group (RG-2) flow. We have shown some conditions for the existence of a solution of RG-2flow on WP manifolds. Also, we have found a necessary condition for warped function under RG-2 flow. Inparticular, we study some special WP metric of real line with a manifold. Eventually, by extending conditionsto pseudo-Riemannian manifold, we find a PDE for Robertson-Walker (RW) metrics, and show that there isno RG-2 flow for RW metrics.
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- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2009
- Yayıncı: Çankaya Üniversitesi
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