Generalized Lane–Emden Equation and the Structure of Galactic Dark Matter
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- Riazi, N. & Bordbar, M.R. Int J Theor Phys (2006) 45: 483. doi:10.1007/s10773-006-9031-5
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Starting from the collisionless Boltzmann equation and the Plummer's distribution function, the Lane–Emden (LE) equation is derived and applied to the problem of galactic dark halos. Some generalizations of the LE equation are considered and their implications for the structure of dark halos are investigated. The relevance of a relativistic scalar field to the problem under investigation is also discussed.