  Galilean conformal algebra (GCA) in two dimensions arises as contraction of
two copies of the centrally extended Virasoro algebra ($t\rightarrow t,
x\rightarrow\epsilon x$ with $\epsilon\rightarrow 0$). The central charges of
GCA can be expressed in term of Virasoro central charges. For finite and
non-zero GCA central charges, the Virasoro central charges must behave as
asymmetric form $O(1)\pm O(\frac{1}{\epsilon})$. We propose that, the bulk
description for 2d GCA with asymmetric central charges is given by general
massive gravity (GMG) in three dimensions. It can be seen that, if the
gravitational Chern-Simons coupling $\frac{1}{\mu}$ behaves as of order
O($\frac{1}{\epsilon}$) or ($\mu\rightarrow\epsilon\mu$), the central charges
of GMG have the above $\epsilon$ dependence. So, in non-relativistic scaling
limit $\mu\rightarrow\epsilon\mu$, we calculated GCA parameters and finite
entropy in term of gravity parameters mass and angular momentum of GMG.
