Abstract

RETANA-MONTENEGRO, Edwin  and  FRUTOS-ALFARO, Francisco. Propiedades del efecto lente para el perfil de einasto en términos de la función G de meijer. Rev. Mat [online]. 2014, vol.21, n.2, pp.189-198. ISSN 1409-2433.

In N-body simulations of cold dark matter, it has been found that three-parameter models, particularly the Einasto profile, yield better fits to a wide range of dark matter haloes than two parameter models like the Navarro-Frenk-White profile. Recently, the analytical properties of the Einasto profile has been studied, allowing closed expressions for its surface mass density and lensing properties in terms of the Fox H and Meijer G functions, using a Mellin transform formalism. These expressions are valid for all values of the Einasto index in terms of the Fox H function, and valid for integer and half-integer values of Einasto index in terms of the Meijer G function. In this paper, we derive expressions for lensing properties of the Einasto profile for all rational values of the Einasto index in terms of theMeijer G function. Equivalency between these expressions and other recent results is also discussed

Keywords : cosmología; materia oscura; función G de Meijer.

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