Self-gravitating equilibrium models of dwarf galaxies and the minimum mass for star formation

TL;DR

This study models dwarf galaxies in equilibrium to determine the minimum gas mass needed for star formation, considering dark matter, gas temperature, and other factors, and compares these with cosmological predictions.

Contribution

It introduces realistic equilibrium models of dwarf galaxies that incorporate gas self-gravity and various physical parameters, aiding in understanding star formation thresholds.

Findings

For M_DM > 10^9 M_sun, star formation is naturally supported by available gas.

Models with M_DM < 10^9 M_sun often require more gas than available for star formation.

Minimum gas mass depends on temperature, spin, non-thermal support, and formation redshift.

Abstract

We construct a series of model galaxies in rotational equilibrium consisting of gas, stars, and a fixed dark matter (DM) halo and study how these equilibrium systems depend on the mass and form of the DM halo, gas temperature, non-thermal and rotation support against gravity, and also on the redshift of galaxy formation. For every model galaxy we find the minimum gas mass M_g^min required to achieve a state in which star formation (SF) is allowed according to contemporary SF criteria. The obtained M_g^min--M_DM relations are compared against the baryon-to-DM mass relation M_b--M_DM inferred from the \LambdaCDM theory and WMAP4 data. Our aim is to construct realistic initial models of dwarf galaxies (DGs), which take into account the gas self-gravity and can be used as a basis to study the dynamical and chemical evolution of DGs. Rotating equilibria are found by solving numerically the steady-state momentum equation for the gas component in the combined gravitational potential of gas, stars, and DM halo using a forward substitution procedure. We find that for a given M_DM the value of M_g^min depends crucially on the gas temperature T_g, gas spin parameter \alpha, degree of non-thermal support \sigma_eff, and somewhat on the redshift for galaxy formation z_gf. Depending on the actual values of T_g, \alpha, \sigma_eff, and z_gf, model galaxies may have M_g^min that are either greater or smaller than M_b. Galaxies with M_DM \ga 10^9 M_sun are usually characterized by M_g^min \la M_b, implying that SF in such objects is a natural outcome as the required gas mass is consistent with what is available according to the \LambdaCDM theory. On the other hand, models with M_DM \la 10^9 M_sun are often characterized by M_g^min >> M_b, implying that they need much more gas than available to achieve a state in which SF is allowed. Abridged.