2012A&A...546A..32R


C.D.S. - SIMBAD4 rel 1.7 - 2021.03.01CET22:00:04

2012A&A...546A..32R - Astronomy and Astrophysics, volume 546A, 32-32 (2012/10-1)

Analytical shear and flexion of Einasto dark matter haloes.

RETANA-MONTENEGRO E., FRUTOS-ALFARO F. and BAES M.

Abstract (from CDS):

N-body simulations predict that dark matter haloes are described by specific density profiles on both galactic- and cluster-sized scales. Weak gravitational lensing through the measurements of their first and second order properties, shear and flexion, is a powerful observational tool for investigating the true shape of these profiles. One of the three-parameter density profiles recently favoured in the description of dark matter haloes is the Einasto profile. We present exact expressions for the shear and the first and second flexions of Einasto dark matter haloes derived using a Mellin-transform formalism in terms of the Fox H and Meijer G functions, that are valid for general values of the Einasto index. The resulting expressions can be written as series expansions that permit us to investigate the asymptotic behaviour of these quantities. Moreover, we compare the shear and flexion of the Einasto profile with those of different mass profiles including the singular isothermal sphere, the Navarro-Frenk-White profile, and the Sersic profile. We investigate the concentration and index dependences of the Einasto profile, finding that the shear and second flexion could be used to determine the halo concentration, whilst for the Einasto index the shear and first and second flexions may be employed. We also provide simplified expressions for the weak lensing properties and other lensing quantities in terms of the generalized hypergeometric function.

Abstract Copyright:

Journal keyword(s): methods: analytical - gravitational lensing: weak - galaxies: clusters: general - galaxies: halos - dark matter

Simbad objects: 15

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Number of rows : 15

N Identifier Otype ICRS (J2000)
RA
ICRS (J2000)
DEC
Mag U Mag B Mag V Mag R Mag I Sp type #ref
1850 - 2021
#notes
1 M 32 IG 00 42 41.825 +40 51 54.61 9.51 9.03 8.08     ~ 2034 2
2 M 31 G 00 42 44.330 +41 16 07.50 4.86 4.36 3.44     ~ 11207 1
3 [FPK96] J030459.2-001146 G 03 04 59.21 -00 11 46.7           ~ 9 0
4 ClG J0717+3745 ClG 07 17 36.50 +37 45 23.0           ~ 376 0
5 B3 0714+378 Rad 07 17 36.50 +37 45 23.0           ~ 169 2
6 M 81 Sy2 09 55 33.17306143 +69 03 55.0609270   7.89 6.94     ~ 4042 5
7 M 87 BiC 12 30 49.42338230 +12 23 28.0438581 10.16 9.59 8.63   7.49 ~ 6351 3
8 M 104 LIN 12 39 59.43185 -11 37 22.9954 9.51 9.55 8.00 8.05   ~ 1295 3
9 ACO 1689 ClG 13 11 29.5 -01 20 28           ~ 1036 0
10 [HCS2000] NIC J141726.75+522449.0 EmG 14 17 26.926 +52 24 49.47           ~ 8 0
11 EGSIRAC J141731.31+522609.6 G 14 17 31.31781 +52 26 09.6061   24.06   22.79 21.72 ~ 11 0
12 EGSIRAC J141745.03+522803.0 Sy2 14 17 45.03416 +52 28 02.9910   20.003   18.714 18.199 ~ 25 1
13 DEEP-GSS 064-4412 G 14 17 53.414 +52 29 41.07           ~ 9 0
14 DEEP-GSS 064-4442 G 14 17 54.05 +52 29 12.0   23.49   23.05 22.42 ~ 10 0
15 [EAD2001] HDFS J223247.66-603335.9 G 22 32 47.6994 -60 33 35.744 23.779 22.656 21.326   20.227 ~ 20 0

    Equat.    Gal    SGal    Ecl

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2021.03.01-22:00:04

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