An Entropy-Area Law for Neutron Stars Near the Black Hole Threshold

Abstract: Neutron stars exhibit a set of universal relations independent of their equation of state that bears semblance to the black hole no hair relations. Motivated by this, we analytically and numerically explore other relations that connect neutron star and black hole universality. By analyzing two different measures, we find that certain rescaled entropies possess a nearly universal behavior. We also discover that when the compactness of neutron stars approaches the black hole limit, the rescaled entropy approaches that of a black hole, and the thermodynamic entropy scales with the stellar surface area in an ever more universal way.