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Title: Slowly rotating Bose Einstein condensate galactic dark matter halos, and their rotation curves
Authors: Zhang, XY
Chan, MH
Harko, T
Liang, SD
Leung, CS 
Issue Date: 2018
Source: European physical journal. C particles and fields, 28 Apr. 2018, v. 78, no. 4, 346
Abstract: If dark matter is composed of massive bosons, a Bose-Einstein condensation process must have occurred during the cosmological evolution. Therefore galactic dark matter may be in a form of a condensate, characterized by a strong self-interaction. We consider the effects of rotation on the Bose-Einstein condensate dark matter halos, and we investigate how rotation might influence their astrophysical properties. In order to describe the condensate we use the Gross-Pitaevskii equation, and the Thomas-Fermi approximation, which predicts a polytropic equation of state with polytropic index n = 1. By assuming a rigid body rotation for the halo, with the use of the hydrodynamic representation of the Gross-Pitaevskii equation we obtain the basic equation describing the density distribution of the rotating condensate. We obtain the general solutions for the condensed dark matter density, and we derive the general representations for the mass distribution, boundary (radius), potential energy, velocity dispersion, tangential velocity and for the logarithmic density and velocity slopes, respectively. Explicit expressions for the radius, mass, and tangential velocity are obtained in the first order of approximation, under the assumption of slow rotation. In order to compare our results with the observations we fit the theoretical expressions of the tangential velocity of massive test particles moving in rotating Bose-Einstein condensate dark halos with the data of 12 dwarf galaxies and the Milky Way, respectively.
Publisher: Springer
Journal: European physical journal. C, Particles and fields 
ISSN: 1434-6044
EISSN: 1434-6052
DOI: 10.1140/epjc/s10052-018-5835-8
Rights: © The Author(s) 2018
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. Funded by SCOAP3
The following publication Zhang, X., Chan, M. H., Harko, T., Liang, S. -., & Leung, C. S. (2018). Slowly rotating bose einstein condensate galactic dark matter halos, and their rotation curves. European Physical Journal C, 78(4), 346 is available at
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