  We study the effects of isovector-scalar ($\delta$)-meson on neutron star.
Influence of $\delta$-meson on both static and rotating neutron star is
discussed. Inclusion of $\delta$-meson in a neutron star system consisting of
proton, neutron and electron, make the equation of state stiffer in higher
density and consequently increases the maximum mass of the star. But induction
of $\delta$-meson in the hyperon star decreases the maximum mass of the hyperon
star. This is due to the early evolution of hyperons in presence of
$\delta-$meson.
