TY - JOUR
T1 - Second Order Renormalization Group Flow on Warped Product Manifolds
AU - Razavi, Asadollah
AU - Toeiserkani, Zoheir
PY - 2019
DA - May
JF - Cankaya University Journal of Science and Engineering
JO - CUJSE
PB - Cankaya University
WT - DergiPark
SN - 2564-7954
SP - 81
EP - 97
VL - 16
IS - 1
LA - en
AB - 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.
KW - Ricci flow
KW - second order renormalization group flow
KW - warped product manifold
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UR - https://dergipark.org.tr/en/pub/cankujse/issue/45603/467824
L1 - https://dergipark.org.tr/en/download/article-file/730253
ER -