  We study different top quark charge asymmetries and the variation of $t\bar
t$ total cross section induced by the effective axial-vector coupling of gluon
in the LHC experiments. We show that rapidity cut-dependent asymmetries are
more sensitive to the new physics than the independent ones. We also study the
dependence of the asymmetries and variations of total $t\bar t$ cross sections
on the invariant mass of $t\bar t$ system and show that it would be necessary
to measure those quantities as functions of $m_{tt}$ at the LHC. In the context
of considered new physics scenario, 7 TeV LHC has enough sensitivity either to
confirm the Tevatron top asymmetry anomaly or to rule it out. In the latter
case the LHC is able to put stringent constraint on the new physics scale
$\Lambda$ in this framework.
