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Recently, in Malik23, a dataset of several EoS for purely nucleonic stellarmatter based on a non-linear RMF model prescription, and constrained toproperties of nuclear matter, to state-of-the-art chiral effective field theorycalculations for low-density neutron matter, and to astrophysical data, wereproposed. In this work, twenty one unified neutron star EoS were chosen fromthat dataset, in such a way that a large range of values of the slope of thesymmetry energy at saturation is covered. Several quantities are calculated anddiscussed, such as the the proton fraction and the direct Urca behavior, thedensity dependence of the speed of sound and the trace anomaly, the crust-coretransition properties, the compatibility with astrophysical observations, andthe neutron matter properties from $\chi$EFT calculations and pQCD constraints.We construct unified EoS, where the outer crust is given by the BSk22functional, and the inner crust is calculated from a CLD approximation. Thecore is purely nucleonic, made of protons, neutrons, electrons and muons, undercharge neutrality and in $\beta-$equilibrium conditions. The correlation of theslope of the symmetry energy at saturation with the crust-core transitiondensity and proton fraction is analysed, and equations that translate theserelations are proposed. Moreover, the spectral representation for all the EOSaccording to the format proposed in Lindblom10 is given, which is a convenientrepresentation to study quasi-periodic oscillations with realistic EOS. It isshown that several of these EoS have in the center of the most massive NS aspeed of sound squared of the order of $\lesssim 0.5$. Most of the EoS predicta maximum central density of the order of about 6 times the nuclear saturationdensity. Three of the EoS satisfy all of the constraints imposed. All these EoSwill be made available in the CompOSE platform.

Unified neutron star equations of state calibrated to nuclear properties