LENSING PROPERTIES OF THE EINASTO PROFILE IN TERMS OF THE MEIJER G FUNCTION

• Main Authors: Edwin Retana-Montenegro, Francisco Frutos-Alfaro
• Format: Article
• Language: Spanish
• Published: Universidad de Costa Rica 2014-07-01
• Series: Revista de Matemática: Teoría y Aplicaciones
• Subjects: cosmología; materia oscura; función G de Meijer
• Online Access: https://revistas.ucr.ac.cr/index.php/matematica/article/view/15181

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 the Meijer G function. Equivalency between these expressions and other recent results is also discussed