English

Relativistic Bose-Einstein condensate in the rainbow gravity

General Relativity and Quantum Cosmology 2022-09-23 v2 High Energy Physics - Theory

Abstract

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 TcT_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. Finally, we discuss how harder is for the particles at an arbitrary temperature T<TcT<T_c to enter the condensed state compared to the usual scenario, {\it i.e.}, without rainbow gravity.

Keywords

Cite

@article{arxiv.2105.13388,
  title  = {Relativistic Bose-Einstein condensate in the rainbow gravity},
  author = {J. Furtado and J. F. Assunção and C. R. Muniz},
  journal= {arXiv preprint arXiv:2105.13388},
  year   = {2022}
}

Comments

13 pages, 2 figure, matches version accepted in EPL

R2 v1 2026-06-24T02:32:38.061Z