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

@article{Toth2014SelfGravitatingBC, title={Self-Gravitating Bose-Einstein Condensates and the Thomas-Fermi Approximation}, author={V. Toth}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2014}, volume={4}, pages={9} }

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…

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