A closed-form formula for star formation histories in galactocentric radial shells is derived from empirical galaxy scaling relations and two star formation history models.
Constraints on primordial black holes from observation of stars in dwarf galaxies
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abstract
We propose a way to constrain the primordial black hole (PBH) abundance in the range of PBH masses $m$ around $10^{20}$g based on their capture by Sun-like stars in dwarf galaxies, with subsequent star destruction. We calculate numerically the probability of a PBH capture by a star at the time of its formation in an environment typical of dwarf galaxies. Requiring that no more than a fraction $\xi$ of stars in a dwarf galaxy is destroyed by PBHs translates into an upper limit on the PBH abundance. For the parameters of Triangulum II and $\xi=0.5$, we find that no more than $\sim 35\%$ of dark matter can consist of PBHs in the mass range $10^{18} - \text{(a few)}\times 10^{21}$g. The constraints depend strongly on the parameter $\xi$ and may significantly improve if smaller values of $\xi$ are established from observations. An accurate determination of $\xi$ from dwarf galaxy modeling is thus of major importance.
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Dark-matter-induced transients over cosmic time: The role of star formation history profiles
A closed-form formula for star formation histories in galactocentric radial shells is derived from empirical galaxy scaling relations and two star formation history models.