  By using a simple thermodynamical method we confirm the finding of Chavanis
and Harko that stable Bose-Einstein condensate stars can form. However, by
using a thermodynamically consistent boson equation of state, we obtain a less
massive Bose-Einstein condensate star compared to the one predicted by Chavanis
and Harko. We also obtain that the maximum mass of a boson star is insensitive
to the change of matter temperature. However, the mass of boson star with
relatively large radius depends significantly on the temperature of the boson
matter.
