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.
Ricci flow second order renormalization group flow warped product manifold
Birincil Dil | İngilizce |
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Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 31 Mayıs 2019 |
Yayımlandığı Sayı | Yıl 2019 Cilt: 16 Sayı: 1 |