Nonrotating and rotating neutron stars in the extended field theoretical model

We study the properties of nonrotating and rotating neutron stars for a new set of equations of state (EOSs) with different high-density behavior obtained using the extended field theoretical model. The high-density behavior for these EOSs are varied by varying the \ensuremath{\omega}-meson self-coupling and hyperon-meson couplings in such a way that the quality of fit to the bulk nuclear observables, nuclear matter incompressibility coefficient, and hyperon-nucleon potential depths remain practically unaffected. We find that the largest value for maximum mass for the nonrotating neutron star is $2.1{M}_{\ensuremath{\bigodot}}$. The radius for a neutron star with canonical mass is 12.8--14.1 km, provided only those EOSs are considered for which the maximum mass is larger than $1.6{M}_{\ensuremath{\bigodot}},$ the lower bound on the maximum mass measured so far. Our results for the very recently discovered fastest rotating neutron star indicate that this star is supramassive with mass $1.7{M}_{\ensuremath{\bigodot}}$--$2.7{M}_{\ensuremath{\bigodot}}$ and circumferential equatorial radius 12--19 km.