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Analytical properties of Einasto dark matter haloes

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Abstract
Recent high-resolution N-body CDM simulations indicate that nonsingular three-parameter models such as the Einasto profile perform better than the singular two-parameter models, e. g. the Navarro, Frenk and White, in fitting a wide range of dark matter haloes. While many of the basic properties of the Einasto profile have been discussed in previous studies, a number of analytical properties are still not investigated. In particular, a general analytical formula for the surface density, an important quantity that defines the lensing properties of a dark matter halo, is still lacking to date. To this aim, we used a Mellin integral transform formalism to derive a closed expression for the Einasto surface density and related properties in terms of the Fox H and Meijer G functions, which can be written as series expansions. This enables arbitrary-precision calculations of the surface density and the lensing properties of realistic dark matter halo models. Furthermore, we compared the Sersic and Einasto surface mass densities and found differences between them, which implies that the lensing properties for both profiles differ.
Keywords
galaxies: clusters: general, gravitational lensing: weak, dark matter, methods: analytical, galaxies: halos, gravitational lensing: strong, EARLY-TYPE GALAXIES, LOW SURFACE BRIGHTNESS, UNIVERSAL DENSITY PROFILE, DEPROJECTED SERSIC MODEL, SPIRAL GALAXIES, ELLIPTIC GALAXIES, MASS-DISTRIBUTION, SCALING RELATIONS, ANALYTICAL EXPRESSIONS, STRUCTURAL PARAMETERS

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Chicago
Retana-Montenegro, E, Emmanuel Van Hese, Gianfranco Gentile, Maarten Baes, and F Frutos-Alfaro. 2012. “Analytical Properties of Einasto Dark Matter Haloes.” Astronomy & Astrophysics 540.
APA
Retana-Montenegro, E., Van Hese, E., Gentile, G., Baes, M., & Frutos-Alfaro, F. (2012). Analytical properties of Einasto dark matter haloes. ASTRONOMY & ASTROPHYSICS, 540.
Vancouver
1.
Retana-Montenegro E, Van Hese E, Gentile G, Baes M, Frutos-Alfaro F. Analytical properties of Einasto dark matter haloes. ASTRONOMY & ASTROPHYSICS. 2012;540.
MLA
Retana-Montenegro, E, Emmanuel Van Hese, Gianfranco Gentile, et al. “Analytical Properties of Einasto Dark Matter Haloes.” ASTRONOMY & ASTROPHYSICS 540 (2012): n. pag. Print.
@article{2113434,
  abstract     = {Recent high-resolution N-body CDM simulations indicate that nonsingular three-parameter models such as the Einasto profile perform better than the singular two-parameter models, e. g. the Navarro, Frenk and White, in fitting a wide range of dark matter haloes. While many of the basic properties of the Einasto profile have been discussed in previous studies, a number of analytical properties are still not investigated. In particular, a general analytical formula for the surface density, an important quantity that defines the lensing properties of a dark matter halo, is still lacking to date. To this aim, we used a Mellin integral transform formalism to derive a closed expression for the Einasto surface density and related properties in terms of the Fox H and Meijer G functions, which can be written as series expansions. This enables arbitrary-precision calculations of the surface density and the lensing properties of realistic dark matter halo models. Furthermore, we compared the Sersic and Einasto surface mass densities and found differences between them, which implies that the lensing properties for both profiles differ.},
  articleno    = {A70},
  author       = {Retana-Montenegro, E and Van Hese, Emmanuel and Gentile, Gianfranco and Baes, Maarten and Frutos-Alfaro, F},
  issn         = {0004-6361},
  journal      = {ASTRONOMY \& ASTROPHYSICS},
  keyword      = {galaxies: clusters: general,gravitational lensing: weak,dark matter,methods: analytical,galaxies: halos,gravitational lensing: strong,EARLY-TYPE GALAXIES,LOW SURFACE BRIGHTNESS,UNIVERSAL DENSITY PROFILE,DEPROJECTED SERSIC MODEL,SPIRAL GALAXIES,ELLIPTIC GALAXIES,MASS-DISTRIBUTION,SCALING RELATIONS,ANALYTICAL EXPRESSIONS,STRUCTURAL PARAMETERS},
  language     = {eng},
  pages        = {10},
  title        = {Analytical properties of Einasto dark matter haloes},
  url          = {http://dx.doi.org/10.1051/0004-6361/201118543},
  volume       = {540},
  year         = {2012},
}

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