Cosmological New Massive Gravity and Galilean Conformal Algebra in 2-dimensions

In the present paper we consider the realization of $2-$dimensional Galilean conformal algebra ($GC{A}_2$) on the boundary of cosmological new massive gravity. At first we consider the contracted BTZ black hole solution. We obtain entropy formula for the $GC{A}_2$ in term of contracted scaling dimension $\mathrm{\Delta }$ and central charge $C_1$. This entropy formula exactly matches with the non-relativistic limit of Bekenstein-Hawking entropy of BTZ black hole. Then we extend our study to the contracted warped $Ad{S}_3$ black hole solution of CNMG. We obtain the entropy of dual $GC{A}_2$ in terms of central charges and finite temperatures, $T_1,T_2$. Again this expression coincides with the non-relativistic limit of Bekenstein-Hawking entropy formula of warped $Ad{S}_3$ black hole.