Data tables on the equation of state (EOS) and microscopic structures for cold dense stellar matter with proton fractions $Y_p=0.01$–0.65 and baryon number densities $n_{\text{b}}={10}^{-8}–2{\mathrm{fm}}^{-3}$ are obtained adopting 13 different relativistic density functionals, i.e., NL3, PK1, PK1r, GM1, MTVTC, DD-LZ1, PKDD, DD-ME2, TW99, DD-MEX, DD-MEX1, DD-MEX2, and DD-MEY. The EOSs of dense stellar matter inside neutron stars with baryon number densities $n_{\text{b}}=7.6\times {10}^{-11}–2{\mathrm{fm}}^{-3}$ are obtained as well fulfilling $\beta$-stability condition, where those with TW99, DD-MEY, DD-MEX1, DD-ME2, DD-MEX, and DD-LZ1 are generally consistent with the constraints obtained by Huth et al. [Nature (London) 606, 276 (2022)] at $n_{\text{b}}\lesssim 0.19{\mathrm{fm}}^{-3}$ and at larger densities only TW99 gives satisfactory predictions. In general, the dense stellar matter exhibits droplet phase at $n_{\mathrm{b}}\lesssim 0.015{\mathrm{fm}}^{-3}$, while more exotic structures such as rods, slabs, tubes, and bubbles appear sequentially as density increases. The critical proton fractions $Y_p^{\mathrm{drip}}$ ($\approx 0.26$–0.31) for neutron drip are obtained, where neutron gas emerges outside of nuclei at $Y_p<Y_p^{\mathrm{drip}}$. For dense stellar matter at small densities ($n_{\text{b}}\lesssim {10}^{-5}{\mathrm{fm}}^{-3}$) or large proton fractions ($n_{\text{b}}\lesssim 0.1{\mathrm{fm}}^{-3}$ and $Y_p\gtrsim Y_p^{\mathrm{drip}}$), the EOSs and microscopic structures are generally insensitive to the adopted density functionals. With the onset of neutron drip at $Y_p\lesssim Y_p^{\mathrm{drip}}$, the uncertainties emerge and peak at $n_{\text{b}}\approx 0.02{\mathrm{fm}}^{-3}$ within the range ${10}^{-5}\lesssim n_{\text{b}}\lesssim 0.1{\mathrm{fm}}^{-3}$. At $n_{\text{b}}\gtrsim 0.1{\mathrm{fm}}^{-3}$, the dense stellar matter becomes uniform and muons eventually appear, where the uncertainties in the EOSs grow significantly.

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• Asymmetric nuclear matter
• Equations of state of nuclear matter
• Novae & supernovae
• Nuclear matter in neutron stars
• Neutron star crust
• Neutron stars & pulsars