Finite temperature effects in Bose-Einstein Condensed dark matter halos

Abstract

Once the critical temperature of a cosmological boson gas is less than the critical temperature, a Bose-Einstein Condensation process can always take place during the cosmic history of the universe. Zero temperature condensed dark matter can be described as a non-relativistic, Newtonian gravitational condensate, whose density and pressure are related by a barotropic equation of state, with barotropic index equal to one. In the present paper we analyze the effects of the finite dark matter temperature on the properties of the Bose-Einstein Condensed dark matter halos. We formulate the basic equations describing the finite temperature condensate, representing a generalized Gross-Pitaevskii equation that takes into account the presence of the thermal cloud. The static condensate and thermal cloud in thermodynamic equilibrium is analyzed in detail, by using the Hartree-Fock-Bogoliubov and Thomas-Fermi approximations. The condensed dark matter and thermal cloud density and mass profiles at finite temperatures are explicitly obtained. Our results show that when the temperature of the condensate and of the thermal cloud are much smaller than the critical Bose-Einstein transition temperature, the zero temperature density and mass profiles give an excellent description of the dark matter halos. However, finite temperature effects may play an important role in the early stages of the cosmological evolution of the dark matter condensates.

20 pages, 3 figures; minor modifications; accepted for publication in JCAP

References in corpus (16)

• Constraints on the Self-Interaction Cross-Section of Dark Matter from Numerical Simulations of the Merging Galaxy Cluster 1E 0657-5
• Finite Temperature Models of Bose-Einstein Condensation
• Bose-Einstein Condensate general relativistic stars
• Bose-Einstein condensation of dark matter solves the core/cusp problem
• Bose-Einstein condensation of alkaline earth atoms: ${}^{40}${Ca}
• Constraints on dark matter particles from theory, galaxy observations and N-body simulations
• Dynamical and Gravitational Instability of Oscillating-Field Dark Energy and Dark Matter
• Scalar Field Dark Matter: non-spherical collapse and late time behavior
• Cosmic structures via Bose Einstein condensation and its collapse
• Power spectrum for the Bose-Einstein condensate dark matter
• Are galaxies extending?
• Viability of complex self-interacting scalar field as dark matter
• Vortex Structures in a Rotating BEC Dark Matter Component
• Interference pattern in the collision of structures in the BEC dark matter model: comparison with fluids
• Scalar Field Dark Matter: behavior around black holes
• Variational self-consistent theory for trapped Bose gases at finite temperature

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