  We study the effect of temperature on the global properties of static and
slowly rotating self-gravitating Bose-Einstein condensate (BEC) stars within
general relativity. We employ a recently developed temperature dependent BEC
equation of state (EoS) to describe the stellar matter by assuming that the
condensate can be described by a non-relativistic EoS. Stellar profiles are
obtained using general relativistic Hartle-Thorne slow rotation approximation
equations. We find that with increasing temperatures mass-radius values are
found to be decreasing for the static and rotating cases; though presence of
temperature supports high mass values at lower central densities. Countering
effects of rotation and temperature on the BEC stellar structure have been
analysed and quantified. We report that inclusion of temperature has
significant effect on the rotating stellar profiles but negligible effect on
the maximum mass, as in the case of static system. We have also studied the
effect of EoS parameters -- boson mass and strength of the self-interaction --
on global properties of static and rotating BEC stars, in presence of
temperature.
