Stellar Evolution Modeling of Sun-like Hawking Stars

Primordial black holes remain a compelling dark matter candidate if they do exist and there is a large enough quantity of them, and there is growing evidence for this. The primordial black holes that form in the asteroid mass window of 10^-16-10^-10 solar masses are of particular interest, as they are still poorly constrained. A star with one of these at the center has come to be known as a Hawking star, and is powered in part by accretion luminosity from the black hole. There is probably not a black hole in the center of the sun, but the sun is a well studied candidate to compare the effects of various central primordial black hole masses on stellar evolution. Here we model these Hawking stars using detailed stellar evolution models via MESA. We expand MESA’s capabilities by adding in a point mass at the core of the star which is the black hole, and accounting for both Bondi and Eddington limited accretion schemes. We also run models accounting for changes in radiative efficiency of the black hole as it consumes the surrounding star.