Relativistic Bose-Einstein condensate in the rainbow gravity

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

13 pages, 2 figure, matches version accepted in EPL

References in corpus (8)

• Modified (A)dS Schwarzschild black holes in Rainbow spacetime
• Bose-Einstein Condensation in the Relativistic Pion Gas: Thermodynamic Limit and Finite Size Effects
• Landau Levels in the Presence of a Cosmic String in Rainbow Gravity
• Casimir Effect in the Rainbow Einstein's Universe
• Effect of Snyder-de Sitter model on the Black hole thermodynamics in the context of rainbow gravity
• Thermodynamics and remnants of Kiselev black holes in Rainbow gravity
• Probing low-energy Lorentz violation from high-energy modified dispersion in dipolar Bose-Einstein condensates
• Bose-Einstein condensation in Hořava-Lifshitz theory

Cited by in corpus (5)

• Thermal analysis of photon-like particles in rainbow gravity
• Thermodynamical properties of an ideal gas in a traversable wormhole
• Nonminimal planar electrodynamics modified by higher-derivative terms
• Impact of Cosmology on Lorentz Invariance Violation Constraints from GRB Time-Delays
• Einstein-Yang-Mills Regular Black Holes in Rainbow Gravity