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26 April 2024 |
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Influence of the intrinsic distribution of candles on constraining the cosmological model | | Yi-Ping Qin
; Bin-Bin Zhang
; Yun-Ming Dong
; Fu-Wen Zhang
; Huai-Zhen Li
; Lan-Wei Jia
; Li-Sheng Mao
; Rui-Jing Lu
; Ting-Feng Yi
; Xiao-Hong Cui
; Zhi-Bin Zhang
; | | Date: |
18 Feb 2005 | | Abstract: | We investigate how to employ candles with a certain width of distribution to constrain the cosmological model. To solve the problem of the difficulty of the definition of the statistic $chi^2$, we propose to use the conventional minimizing $chi ^{2}$ method which ignores the deviation arising from the distribution to find the best fit of the theoretical curve to the observational data. Once the fitting parameters are determined, the statistic $chi ^2$ could be evaluated as long as the deviation of a candle from the expected central value is small enough. One thus can plot the confidence contour with the statistic. We apply this method to a gamma-ray burst (GRB) sample as well as to a combined sample including this GRB sample and an SN Ia sample. Our analysis shows that: a) in the case of assuming an intrinsic distribution of candles of the GRB sample, the effect of the distribution is obvious and should not be neglected; b) taking into account this effect would lead to a poorer constraint of the cosmological parameter ranges. The analysis suggests that in the attempt of constraining the cosmological model with current GRB samples, the results tend to be worse than what previously thought if the mentioned intrinsic distribution does exist (even if the distribution is very narrow). | | Source: | arXiv, astro-ph/0502373 | | Services: | Forum | Review | PDF | Favorites | |
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