LENSING PROPERTIES OF THE EINASTO PROFILE IN TERMS OF THE MEIJER G FUNCTION
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| Format: | Artículo científico |
| Language: | en |
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Universidad de Costa Rica
2014
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| _version_ | 1876438301854924800 |
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| author | Edwin Retana Montenegro |
| author_facet | Edwin Retana Montenegro |
| contents | LENSING PROPERTIES OF THE EINASTO PROFILE IN TERMS OF THE MEIJER G FUNCTION Edwin Retana Montenegro Francisco Frutos Alfaro Física, Astronomía y Matemáticas Cosmology dark matter Meijer G function 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 model s like the Navarro-Frenk-White profile. Recently, the analytical pro perties of the Einasto profile has been studied, allowing closed expressio ns for its sur- face mass density and lensing properties in terms of the Fox H and Meijer G functions, using a Mellin transform formalism. These expre ssions 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 ind ex 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 t he Einasto index in terms of the Meijer G function. Equivalency between these expressions and other recent results is also discussed. 2014 artículo científico 1409-2433 https://www.redalyc.org/articulo.oa?id=45331282002 en http://www.redalyc.org/revista.oa?id=453 Revista de Matemática: Teoría y Aplicaciones application/pdf Universidad de Costa Rica Revista de Matemática: Teoría y Aplicaciones (Costa Rica) Num.2 Vol.21 |
| format | Artículo científico |
| id | redalyc_45331282002 |
| institution | Redalyc |
| language | en |
| publishDate | 2014 |
| publisher | Universidad de Costa Rica |
| spellingShingle | LENSING PROPERTIES OF THE EINASTO PROFILE IN TERMS OF THE MEIJER G FUNCTION Edwin Retana Montenegro Física, Astronomía y Matemáticas Cosmology dark matter Meijer G function LENSING PROPERTIES OF THE EINASTO PROFILE IN TERMS OF THE MEIJER G FUNCTION Edwin Retana Montenegro Francisco Frutos Alfaro Física, Astronomía y Matemáticas Cosmology dark matter Meijer G function 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 model s like the Navarro-Frenk-White profile. Recently, the analytical pro perties of the Einasto profile has been studied, allowing closed expressio ns for its sur- face mass density and lensing properties in terms of the Fox H and Meijer G functions, using a Mellin transform formalism. These expre ssions 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 ind ex 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 t he Einasto index in terms of the Meijer G function. Equivalency between these expressions and other recent results is also discussed. 2014 artículo científico 1409-2433 https://www.redalyc.org/articulo.oa?id=45331282002 en http://www.redalyc.org/revista.oa?id=453 Revista de Matemática: Teoría y Aplicaciones application/pdf Universidad de Costa Rica Revista de Matemática: Teoría y Aplicaciones (Costa Rica) Num.2 Vol.21 |
| title | LENSING PROPERTIES OF THE EINASTO PROFILE IN TERMS OF THE MEIJER G FUNCTION |
| topic | Física, Astronomía y Matemáticas Cosmology dark matter Meijer G function |
| url | https://www.redalyc.org/articulo.oa?id=45331282002 |