2007ApJ...660....1O


C.D.S. - SIMBAD4 rel 1.7 - 2021.06.21CEST05:36:54

2007ApJ...660....1O - Astrophys. J., 660, 1-15 (2007/May-1)

Gravitational lens time delays: a statistical assessment of lens model dependences and implications for the global Hubble constant.

OGURI M.

Abstract (from CDS):

Time delays between lensed multiple images have been known to provide an interesting probe of the Hubble constant, but such an application is often limited by degeneracies with the shape of lens potentials. We propose a new statistical approach to examine the dependence of time delays on the complexity of lens potentials, such as higher order perturbations, nonisothermality, and substructures. Specifically, we introduce a dimensionless reduced time delay and explore its behavior analytically and numerically as a function of the image configuration, which is characterized by the asymmetry and opening angle of the image pair. In particular, we derive a realistic conditional probability distribution for a given image configuration from Monte Carlo simulations. We find that the probability distribution is sensitive to the image configuration such that more symmetric and/or smaller opening-angle image pairs are more easily affected by perturbations on the primary lens potential. On average time delays of double lenses are less scattered than those of quadruple lenses. Furthermore, the realistic conditional distribution allows a new statistical method to constrain the Hubble constant from observed time delays. We find that 16 published time delay quasars constrain H0 to be 70±6 km/s/Mpc, where the value and its error are estimated using jackknife resampling. Systematic errors coming from the heterogeneous nature of the quasar sample and the uncertainty of the input distribution of lens potentials can be larger than the statistical error. After including rough estimates of important systematic errors, we find H0=68±6(stat.)±8(syst.) km/s/Mpc. The reasonable agreement of the value of the Hubble constant with other estimates indicates the usefulness of our new approach as a cosmological and astrophysical probe, particularly in the era of large-scale synoptic surveys.

Abstract Copyright:

Journal keyword(s): Cosmology: Theory - Cosmology: Dark Matter - Cosmology: Distance Scale - Galaxies: Elliptical and Lenticular, cD - Cosmology: Gravitational Lensing

CDS comments: In table 1, the redshifts 1.394 for QSO 1608+656 and 0.603 for HE 2149-2745 are incorrect

Simbad objects: 46

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Number of rows : 46

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 RORF 0218+35A LeI 02 21 05.4667 +35 56 13.730           ~ 33 0
2 QSO B0218+357 QSO 02 21 05.5 +35 56 14   20.0 20.0 19.60   ~ 515 2
3 RORF 0218+35B LeI 02 21 05.5 +35 56 14           ~ 30 0
4 [WSB2002] 0435-1223 C LeQ 04 38 14.73 -12 17 15.0     19.149   19.631 ~ 34 0
5 [WSB2002] 0435-1223 B LeQ 04 38 14.80 -12 17 13.8     19.082   19.623 ~ 37 0
6 [WSB2002] 0435-1223 D LeQ 04 38 14.84 -12 17 16.0     19.196   19.824 ~ 36 0
7 [WSB2002] 0435-1223 G G 04 38 14.88 -12 17 14.6     20.80   19.83 ~ 24 0
8 [VV2006] J043814.8-122314 QSO 04 38 14.88 -12 17 14.6     17.15     ~ 190 2
9 [WSB2002] 0435-1223 A LeQ 04 38 14.90 -12 17 14.4     18.545   19.106 ~ 35 0
10 [KCH2000] L2 GiC 09 11 27.50 +05 50 53.3           ~ 22 1
11 QSO B0908+0603 QSO 09 11 27.6052 +05 50 54.281   18.44 18.16     ~ 216 2
12 [KFS97] 0909+532 G G 09 13 +53.0           ~ 14 2
13 QSO B0909+5312 QSO 09 13 01.031 +52 59 28.90   17.29 16.71     ~ 135 1
14 [VV98] J095122.6+263513 QSO 09 51 22.5840 +26 35 13.786   17.66 17.31     ~ 97 1
15 [SGB98] J0951+2635 C G 09 51 22.59 +26 35 14.1   20.25 20.00     ~ 22 1
16 8C 0958+561 QSO 10 01 20.6915852239 +55 53 55.595776916   17.16 16.95     ~ 706 3
17 YGKOW G1 G 10 01 20.86 +55 53 50.7           ~ 50 1
18 ClG J1004+4112 ClG 10 04 34.180 +41 12 43.50           ~ 38 3
19 QSO B1001+4127 QSO 10 04 34.9236085542 +41 12 42.771226567   19.14 19.03     ~ 171 1
20 [WZA2016] pg1115 6 169.57063+07.76630 G 11 18 16.95 +07 45 58.7           ~ 46 1
21 QSO B1115+080A QSO 11 18 16.951 +07 45 58.23   16.61 16.44     ~ 640 2
22 [SSC2003] G G 11 31 51.51 -12 31 58.4           ~ 32 1
23 QSO J1131-1231 QSO 11 31 51.5387 -12 31 58.716           ~ 232 1
24 [PBW92] 1422+231 E G 14 24 38.09 +22 56 00.7           ~ 41 1
25 QSO B1422+2309 BLL 14 24 38.09400 +22 56 00.5900   16.77 15.84 14.79   ~ 425 1
26 [PBW92] 1422+231 gLS 14 24 38.09400 +22 56 00.5900   16.77 15.84 14.79   ~ 355 0
27 QSO B1520+530 QSO 15 21 44.8 +52 54 49   18.2       ~ 118 2
28 [CSB98] G G 15 21 45.03 +52 54 48.3           ~ 22 1
29 QSO B1600+4344 QSO 16 01 40.4818 +43 16 47.394   22.12 21.92     ~ 178 1
30 [JH97] B1600+434 Lens G 16 02 +43.3     22.5     ~ 23 1
31 NVSS J160914+653229 rG 16 09 13.96 +65 32 28.8     19.4     ~ 194 1
32 [MFD95] Lensing G G 16 09 13.96 +65 32 28.8           ~ 23 0
33 [KF99] 1608+656 G1 G 16 09 14.00 +65 32 29.3           ~ 13 0
34 NAME 3C 330G2 Sy2 16 09 35.0 +65 56 39   20.33       ~ 260 1
35 [VV2006] J163257.6-003302 QSO 16 32 57.6812439 -00 33 21.070974     20.99 20   ~ 53 1
36 [MSR2003] J1650+4251 G G 16 50 43.4448 +42 51 49.221           ~ 8 1
37 QSO J1650+4251 QSO 16 50 43.4452605717 +42 51 49.356568069   17.78 17.58     ~ 53 1
38 QSO B1830-211 Bla 18 33 39.92 -21 03 39.9     18.70 21   ~ 573 1
39 CLASS B1933+503 Rad 19 34 31.02 +50 25 23.5           ~ 83 1
40 QSO B2149-2745 QSO 21 52 07.4534 -27 31 49.718   18.70 18.39     ~ 98 2
41 [WKL96] HE 2149-2745 G G 21 52 07.48 -27 31 49.3           ~ 23 1
42 QSO B2237+0305D LeI 22 40 30.28 +03 21 29.3   18.98       ~ 76 0
43 QSO B2237+0305B LeI 22 40 30.30 +03 21 30.5   17.82       ~ 76 0
44 QSO B2237+0305A LeI 22 40 30.34 +03 21 28.8   17.96       ~ 88 0
45 QSO B2237+0305C LeI 22 40 30.38 +03 21 30.0   18.66       ~ 79 0

    Equat.    Gal    SGal    Ecl

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2021.06.21-05:36:54

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