LENSING PROPERTIES OF THE EINASTO PROFILE IN TERMS OF THE 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 models like the Navarro-Frenk-White profile. Recently, the analytical properties of the Einasto profi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Universidad de Costa Rica
2014-07-01
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| Series: | Revista de Matemática: Teoría y Aplicaciones |
| Subjects: | |
| Online Access: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/15181 |
| _version_ | 1797706131407110144 |
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| author | Edwin Retana-Montenegro Francisco Frutos-Alfaro |
| author_facet | Edwin Retana-Montenegro Francisco Frutos-Alfaro |
| author_sort | Edwin Retana-Montenegro |
| collection | DOAJ |
| description | 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 |
| first_indexed | 2024-03-12T05:46:42Z |
| format | Article |
| id | doaj.art-a51192d871804937991ea47ab58c1782 |
| institution | Directory Open Access Journal |
| issn | 2215-3373 |
| language | English |
| last_indexed | 2024-03-12T05:46:42Z |
| publishDate | 2014-07-01 |
| publisher | Universidad de Costa Rica |
| record_format | Article |
| series | Revista de Matemática: Teoría y Aplicaciones |
| spelling | doaj.art-a51192d871804937991ea47ab58c17822023-09-03T05:34:59ZengUniversidad de Costa RicaRevista de Matemática: Teoría y Aplicaciones2215-33732014-07-0121218919810.15517/rmta.v21i2.1518114146LENSING PROPERTIES OF THE EINASTO PROFILE IN TERMS OF THE MEIJER G FUNCTIONEdwin Retana-MontenegroFrancisco Frutos-AlfaroIn 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 discussedhttps://revistas.ucr.ac.cr/index.php/matematica/article/view/15181cosmologíamateria oscurafunción G de Meijer |
| spellingShingle | Edwin Retana-Montenegro Francisco Frutos-Alfaro LENSING PROPERTIES OF THE EINASTO PROFILE IN TERMS OF THE MEIJER G FUNCTION Revista de Matemática: Teoría y Aplicaciones cosmología materia oscura función G de Meijer |
| title | LENSING PROPERTIES OF THE EINASTO PROFILE IN TERMS OF THE MEIJER G FUNCTION |
| title_full | LENSING PROPERTIES OF THE EINASTO PROFILE IN TERMS OF THE MEIJER G FUNCTION |
| title_fullStr | LENSING PROPERTIES OF THE EINASTO PROFILE IN TERMS OF THE MEIJER G FUNCTION |
| title_full_unstemmed | LENSING PROPERTIES OF THE EINASTO PROFILE IN TERMS OF THE MEIJER G FUNCTION |
| title_short | LENSING PROPERTIES OF THE EINASTO PROFILE IN TERMS OF THE MEIJER G FUNCTION |
| title_sort | lensing properties of the einasto profile in terms of the meijer g function |
| topic | cosmología materia oscura función G de Meijer |
| url | https://revistas.ucr.ac.cr/index.php/matematica/article/view/15181 |
| work_keys_str_mv | AT edwinretanamontenegro lensingpropertiesoftheeinastoprofileintermsofthemeijergfunction AT franciscofrutosalfaro lensingpropertiesoftheeinastoprofileintermsofthemeijergfunction |