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arXiv 1011.2525astro-ph.COgr-qc
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平坦LCDM宇宙中光度距离的级数解

A Series Solution to the Luminosity Distance in a Flat LCDM Universe

De-Zi Liu, Nan-Nan Yue, Xiao-Lei Meng, Tong-Jie Zhang, Zhi-Liang Yang

摘要:

宇宙学观测表明,我们的宇宙是平坦的,目前暗能量(DE)占主导地位。光度距离在研究宇宙的演化和结构中起着重要的作用。然而,光度距离d_L的评估在实践中与计算繁重的数值求积相关联。在这封信中,我们找到了一个空间平坦的LCDM宇宙学模型中光度距离的级数解。当级数n = 100时,级数解对0 ~ 4的任何相对参数β(β= Omega_m / Omega_L)的相对误差均小于0.36%,即< 1 and redshift z >0.2

英文摘要:

Cosmological observations indicate that our universe is flat and dark energy (DE) dominated at present. The luminosity distance plays an important role in the investigation of the evolution and structure of the universe. Nevertheless, the evaluation of the luminosity distance d_L is associated computationally heavy numerical quadratures in practice. In this Letter we find a series solution of the luminosity distance in a spatially flat LCDM cosmological model. And it is further shown that the series solution has a relative error of less than 0.36% for any relative parameter β(β= Omega_m / Omega_L) from zero to four, i.e. 0.2 < Omega_L < 1 and redshift z > 0.1 when the order of the series is n = 100.

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