  We study 2-dimensional Logarithmic Galilean Conformal Algebra (LGCA) by
making use of a contraction of Topologically Massive Gravity at critical point.
We observe that using a naive contraction at the critical point fails to give a
well defined theory, though contracting the theory while we are approaching the
critical point leads to a well behaved expressions for two point functions of
the energy-momentum tensors of LGCA.
