  Motivated by an open question raised in recent times regarding the phase
transition during the collapse of a neutron star to form a black hole and
related stability issues, we have constructed charged neutron stars in $AdS_5$
and show that these stars become unstable at a particular value of their
radius, regarded as the Chandrasekhar radius. We reproduced the calculations
recently done in [20] in our $AdS_5$ charged star. The analysis shows that the
non-Fermi liquid behavior found there in $AdS_4$ is still true in this higher
dimensional case with the presence of Kosevich-Lifshitz oscillations.
