Effects of finite temperature on the magnetized equation of state in neutron stars composed of a Bose-Einstein condensate

We study the role of temperature and magnetic field on the equation of state and macroscopic properties of Bose-Einstein condensate stars. These compact objects are composed of a condensed gas of interacting neutral vector bosons coupled to a uniform and constant magnetic field. We found that the main consequence of a finite temperature in the magnetized equations of state is to increase the inner pressure of the star. As a consequence, magnetized hot Bose-Einstein condensate stars are larger and heavier than their zero-temperature counterparts. However, the maximum masses obtained by the model remain almost unchanged, and the magnetic deformation of the star increases with the temperature. Besides, increasing the temperature reduces the number of stable stars, an effect that the magnetic field enhances. The implications of our results for the star's evolution, compactness, redshift, and mass quadrupolar moment are also analyzed.