Self-Gravitating Bose-Einstein Condensates and the Thomas-Fermi ApproximationReport as inadecuate


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


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Ottawa, ON K1N 9H5, Canada





Academic Editor: Emilio Elizalde

Abstract 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





Author: Viktor T. Toth

Source: http://mdpi.com/



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