Next Article in Journal
Precessing Jet in the High-Redshift Blazar J0017+8135
Previous Article in Journal
Status on Bidimensional Dark Energy Parameterizations Using SNe Ia JLA and BAO Datasets
Article Menu

Export Article

Open AccessArticle
Galaxies 2016, 4(3), 9;

Self-Gravitating Bose-Einstein Condensates and the Thomas-Fermi Approximation

Ottawa, ON K1N 9H5, Canada
Academic Editor: Emilio Elizalde
Received: 27 April 2016 / Revised: 19 July 2016 / Accepted: 8 August 2016 / Published: 15 August 2016
Full-Text   |   PDF [676 KB, uploaded 15 August 2016]   |  


Self-gravitating Bose-Einstein condensates (BEC) have been proposed in various astrophysical contexts, including Bose-stars and BEC dark matter halos. These systems are described by a combination of the Gross-Pitaevskii and Poisson equations (the GPP system). In the analysis of these hypothetical objects, the Thomas-Fermi (TF) approximation is widely used. This approximation is based on the assumption that in the presence of a large number of particles, the kinetic term in the Gross-Pitaevskii energy functional can be neglected, yet it is well known that this assumption is violated near the condensate surface. We also show that the total energy of the self-gravitating condensate in the TF-approximation is positive. The stability of a self-gravitating system is dependent on the total energy being negative. Therefore, the TF-approximation is ill suited to formulate initial conditions in numerical simulations. As an alternative, we offer an approximate solution of the full GPP system. View Full-Text
Keywords: Bose-Einstein condensates; dark matter halos Bose-Einstein condensates; dark matter halos

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Toth, V.T. Self-Gravitating Bose-Einstein Condensates and the Thomas-Fermi Approximation. Galaxies 2016, 4, 9.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Galaxies EISSN 2075-4434 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top