Bounds on the mass and moment of inertia of non-rotating neutron stars

This article reviews the problem of placing bounds on the mass and moment of inertia of non-rotating neutron stars assuming that the properties of the constituent matter are known below a fiducial density ?₀ while restricted only by minimal general assumptions above this density. We chiefly consider bounds on perfect fluid stars in Einstein's general relativity for which the energy density, ?, is positive and for which the matter is microscopically stable (p ? 0, dp/d? ? 0). The effect of the additional restriction (ditpdg)suiffrsol121 1015 0823 V on the bounds on the mass is also discussed as well as work indicating the effects of rotation, non-perfect fluid matter, and other theories of gravity.