Relativistic Bose-Einstein condensate in the rainbow gravity
arXiv:2105.13388 · doi:10.1209/0295-5075/ac7f51
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 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 to enter the condensed state compared to the usual scenario, {\it i.e.}, without rainbow gravity.
arXiv comment13 pages, 2 figure, matches version accepted in EPL
References in corpus (34)
- Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
- Lorentz invariance with an invariant energy scale
- Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
- Noncommutative Field Theory and Lorentz Violation
- Nonstandard optics from quantum spacetime
- Generalized Lorentz invariance with an invariant energy scale
- Doubly Special Relativity
- Nonsingular Rainbow Universes
- Thermodynamic phase transition of a black hole in rainbow gravity
- Black Hole Remnant from Gravity's Rainbow
- Quantum Time Uncertainty in a Gravity's Rainbow Formalism
- Power spectrum for the Bose-Einstein condensate dark matter
- Modified (A)dS Schwarzschild black holes in Rainbow spacetime
- Nonsingular universe in massive gravity's rainbow
- Bose-Einstein Condensation in the Relativistic Pion Gas: Thermodynamic Limit and Finite Size Effects
- Stagflation -- Bose-Einstein condensation in the early universe
- Exact solutions and phenomenological constraints from massive scalars in a Gravity's Rainbow spacetime
- Starobinsky Model in Rainbow Gravity
- Regular Black Holes in Rainbow Gravity
- Landau Levels in the Presence of a Cosmic String in Rainbow Gravity
- On the initial singularity problem in rainbow cosmology
- Casimir Effect in the Rainbow Einstein's Universe
- Aharonov-Bohm effect for bound states in the cosmic string spacetime in the context of rainbow gravity
- Quantum Rainbow Cosmological Model With Perfect Fluid
- Quantum dynamics of scalar particles in the space-time of a cosmic string in the context of gravity's rainbow
- Effect of Snyder-de Sitter model on the Black hole thermodynamics in the context of rainbow gravity
- Bose-Einstein condensation in the Rindler space
- Thermodynamics and remnants of Kiselev black holes in Rainbow gravity
- Rainbow-like Black Hole metric from Loop Quantum Gravity
- Probing low-energy Lorentz violation from high-energy modified dispersion in dipolar Bose-Einstein condensates
- Lorentz-violating effects in the Bose-Einstein condensation of an ideal bosonic gas
- Effects of Lorentz violation in the Bose-Einstein condensation
- Thermodynamics of charged AdS black holes in rainbow gravity
- 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