A warm fermionic AdS star under a homogeneous magnetic field is explored. We
obtain the relativistic Landau levels by using Dirac equation and use the
Tolman-Oppenheimer-Volkoff (TOV) equation to study the physical profiles of the
star. Bulk properties such as sound speed, adiabatic index, and entropy density
within the star are calculated analytically and numerically. Bulk temperature
increases the mass limit of the AdS star but external magnetic field has the
opposite effect. The results are partially interpreted in terms of the
pre-thermalization process of the gauge matter at the AdS boundary after the
mass injection. The entropy density is found to demonstrate similar temperature
dependence as the magnetic black brane in the AdS in certain limits regardless
of the different nature of the bulk and Hawking temperatures. Total entropy of
the AdS star is also found to be an increasing function of the bulk temperature
and a decreasing function of the magnetic field, similar behaviour to the mass
limit. Since both total entropy and mass limit are global quantities, they
could provide some hints to the value of entropy and energy of the dual gauge
matter before and during the thermalization.Comment: 39 pages, 14 figures, 1 table, comments and references added, to
appear in JHE