Relativistic Bose-Einstein condensate in the rainbow gravity

Understand

In this paper, we study the effects of a modified theory of gravity - the rainbow gravity - on the relativistic Bose-Einstein condensate (BEC).

• We initially discuss some formal aspects of the model in order to compute the corrections to the relevant quantities of the condensate.
• Following, we evaluate the generating functional from which obtain some thermodynamic parameters.
• Then we calculate the corrected critical temperature $T_c$ that sets the relativistic Bose-Einstein condensate considering the three principal rainbow functions, finding, in addition, a phenomenological upper bound for the parameters involved in the model.