Fast rotating neutron stars with realistic nuclear matter equation of state

We construct equilibrium configurations of uniformly rotating neutron stars for selected relativistic mean-field nuclear matter equations of state (EOS). We compute, in particular, the gravitational mass (M), equatorial (R-eq) and polar (R-pol) radii, eccentricity, angular momentum (J), moment of inertia (I) and quadrupole moment (M-2) of neutron stars stable against mass shedding and secular axisymmetric instability. By constructing the constant frequency sequence f = 716 Hz of the fastest observed pulsar, PSR J1748-2446ad, and constraining it to be within the stability region, we obtain a lower mass bound for the pulsar, M-min = [1.2-1.4]M-circle dot, for the EOS employed. Moreover, we give a fitting formula relating the baryonic mass (M-b) and gravitational mass of nonrotating neutron stars, M-b/M-circle dot = M/M-circle dot + (13/200) (M/M-circle dot)(2) [or M/M-circle dot = M-b/M-circle dot - (1/20) M-b/M-circle dot)(2)], which is independent of the EOS. We also obtain a fitting formula, although not EOS independent, relating the gravitational mass and the angular momentum of neutron stars along the secular axisymmetric instability line for each EOS. We compute the maximum value of the dimensionless angular momentum, a/M equivalent to cJ/(GM(2)) (or "Kerr parameter"), (a/M)(max) approximate to 0.7, found to be also independent of the EOS. We then compare and contrast the quadrupole moment of rotating neutron stars with the one predicted by the Kerr exterior solution for the same values of mass and angular momentum. Finally, we show that, although the mass quadrupole moment of realistic neutron stars never reaches the Kerr value, the latter is closely approached from above at the maximum mass value, as physically expected from the no-hair theorem. In particular, the stiffer the EOS, the closer the mass quadrupole moment approaches the value of the Kerr solution.