Cosmography from accurate mass modeling of the lens group SDSS J0100+1818: Five sources at three different redshifts

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Volume 692 (December 2024)

A&A, 692 (2024) A239

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Table 3.

Cosmological parameters Ω_m and w from the six adopted strong lensing models with variable cosmology.

Model	Ω_m	Ω_m	w
	95.4% upper limit
`PIEMD`_Ω_m
	$0 . 14_{- 0.09}^{+ 0.16}$ $0.14_{-0.09}^{+0.16}$		0.47
	N_obs = 36	ndof = 17	χ_min² = 85.95
	BIC = 154.04	AICc = 171.45	rms = 0.23″

`SPEMD`_Ω_m
	$0 . 09_{- 0.06}^{+ 0.10}$ $0.09_{-0.06}^{+0.10}$	0.29
	N_obs = 36	ndof = 16	χ_min² = 85.94
	BIC = 157.61	AICc = 181.94	rms = 0.23″

`PIEMD`_Ω_mw
$0 . 19_{- 0.10}^{+ 0.17}$ $0.19_{-0.10}^{+0.17}$	0.59	$- 1 . 27_{- 0.48}^{+ 0.43}$ $-1.27_{-0.48}^{+0.43}$
	N_obs = 36	ndof = 16	χ_min² = 85.68
	BIC = 157.35	AICc = 181.68	rms = 0.23″

`SPEMD`_Ω_mw
$0 . 15_{- 0.07}^{+ 0.10}$ $0.15_{-0.07}^{+0.10}$	0.34	$- 1 . 38_{- 0.41}^{+ 0.38}$ $-1.38_{-0.41}^{+0.38}$
	N_obs = 36	ndof = 15	χ_min² = 85.68
	BIC = 160.93	AICc = 193.68	rms = 0.23″

MP-`PIEMD`_Ω_m
	$0 . 18_{- 0.12}^{+ 0.29}$ $0.18_{-0.12}^{+0.29}$	0.76
	N_obs = 36	ndof = 16	χ_min² = 84.45
	BIC = 156.12	AICc = 180.45	rms = 0.23″

MP-`PIEMD`_Ω_mw
	$0 . 19_{- 0.11}^{+ 0.30}$ $0.19_{-0.11}^{+0.30}$	0.81	$- 1 . 39_{- 0.41}^{+ 0.49}$ $-1.39_{-0.41}^{+0.49}$
	N_obs = 36	ndof = 15	χ_min² = 84.42
	BIC = 159.67	AICc = 192.42	rms = 0.23″

Notes. The median values, with 68% CL uncertainties, of the cosmological parameters Ω_m and w were extracted as the 50^th quantiles, and from the 16^th and 84^th quantiles of the posterior probability distributions from the MCMC chains. Given that the Ω_m distributions are skewed toward values approaching zero, we also include the 95.4% quantile upper limits. For each model, we also report the adopted metrics describing the goodness of the best-fit models. The two bottom entries are based on the multiplane approach, with an additional mass distribution at z = 1.880 (see Sect. 5.2).

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