  Lately, it has been suggested that strange (quark) stars can be responsible
for glitches and other observational features of pulsars. Some discussions on
whether quark stars, if really exist, are bare or crusted are also a source of
controversy in the recent literature. In the present work we use the
Nambu-Jona-Lasinio model, known to incorporate chiral symmetry, necessarily
present in the QCD formalism, in order to describe quark star properties. We
compare our results for the stars and the features of the model with the much
simpler model normally used in the description of strange stars, namely the MIT
bag model. We also investigate the differences in the stellar properties which
arise due to the presence of the crust. We show that the NJL model produces
results which are somewhat different as compared with the MIT model.
