Method of determining cosmological parameter ranges with samples of candles with an intrinsic distribution |
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Authors: | Qin Yi-Ping Zhang Bin-Bin Dong Yun-Ming Zhang Fu-Wen Li Huai-Zhen Jia Lan-Wei Mao Li-Sheng Lu Rui-Jing Yi Ting-Feng Cui Xiao-Hong and Zhang Zhi-Bin |
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Institution: | National Astronomical Observatories/Yunnan Observatory, Chinese Academy of Sciences, Kunming 650011, China; Physics Department, Guangxi University, Nanning, Guangxi 530004, China; The Graduate School of the Chinese Academy of Sciences, Beijing 100049, China |
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Abstract: | In this paper, the effect of the intrinsic distribution of cosmological candles is
investigated. We find that in the case of a narrow distribution the deviation of the
observed modulus of sources from the expected central value can be estimated within
a ceratin range. We thus introduce lower and upper limits of X2, X
min2 and Xmax2 to estimate cosmological parameters by
applying the conventional minimizing X2 method. 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 was previously anticipated if the
mentioned intrinsic distribution does exist. |
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Keywords: | cosmological parameters observational cosmology distance scale |
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