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arXiv 1503.02439astro-ph.CO
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变引力常量理论中有无宇宙弦流体暗区统一模型的宇宙约束

Cosmic constraint on the unified model of dark sectors with or without a cosmic string fluid in the varying gravitational constant theory

Jianbo Lu, Yanfeng Xu, Yabo Wu

摘要:

观测表明,宇宙中的大多数物质是不可见的,引力常量PDMATHAMM可能与时间有关。本文探讨了变分$G$(VG)理论,它能自然地产生宇宙中有用的暗成分。我们利用观测数据:回望时间数据、与模型无关的伽玛射线暴、物质线性扰动的增长函数、带系统误差的Ia型超新星数据、CMB和BAO来约束VG理论中暗分量的统一模型(UM)。使用具有协方差矩阵的参数的最佳拟合值,对$G$的变化的约束是$(\frac{G}{G_{0}})_{z=3.5}\simeq 1.0015^{+0.0071}_{-0.0075}$和$(\frac{\dot{G}}{G})_{today}\simeq -0.7252^{+2.3645}_{-2.3645}\times 10^{-13} yr^{-1}$,常数周围的小不确定性。在统一模型下,假设$w_{0de}=-1$,暗物质物态方程的极限为$w_{0dm}=0.0072^{+0.0170}_{-0.0170}$;在统一模型下,假设$w_{0dm}=0$,暗能量物态方程的极限为$w_{0de}=-0.9986^{+0.0011}_{-0.0011}$。UM参数的限制为$B_{s}=0.7442^{+0.0137+0.0262}_{-0.0132-0.0292}$和$α=0.0002^{+0.0206+0.0441}_{-0.0209-0.0422}$,以及$1σ$和$2σ$置信水平。此外,还研究了宇宙弦流体对VG理论统一模型的影响。结果表明,在$1σ$置信水平下,该模型包含了$Λ$ CDM($Ω_{s}=0$,$β=0$和$α=0$),并给出了较大的误差:$Ω_{s}=-0.0106^{+0.0312+0.0582}_{-0.0305-0.0509}$(宇宙弦的无量纲能量密度),$(\frac{G}{G_{0}})_{z=3.5}\simeq 1.0008^{+0.0620}_{-0.0584}$和$(\frac{\dot{G}}{G})_{today}\simeq -0.3496^{+26.3135}_{-26.3135}\times 10^{-13}yr^{-1}$ .

英文摘要:

Observations indicate that most of the universal matter are invisible and the gravitational constant $G(t)$ maybe depends on the time. A theory of the variational $G$ (VG) is explored in this paper, with naturally producing the useful dark components in universe. We utilize the observational data: lookback time data, model-independent gamma ray bursts, growth function of matter linear perturbations, type Ia supernovae data with systematic errors, CMB and BAO to restrict the unified model (UM) of dark components in VG theory. Using the best-fit values of parameters with the covariance matrix, constraints on the variation of $G$ are $(\frac{G}{G_{0}})_{z=3.5}\simeq 1.0015^{+0.0071}_{-0.0075}$ and $(\frac{\dot{G}}{G})_{today}\simeq -0.7252^{+2.3645}_{-2.3645}\times 10^{-13} yr^{-1}$, the small uncertainties around constants. Limit on the equation of state of dark matter is $w_{0dm}=0.0072^{+0.0170}_{-0.0170}$ with assuming $w_{0de}=-1$ in unified model, and dark energy is $w_{0de}=-0.9986^{+0.0011}_{-0.0011}$ with assuming $w_{0dm}=0$ at prior. Restriction on UM parameters are $B_{s}=0.7442^{+0.0137+0.0262}_{-0.0132-0.0292}$ and $α=0.0002^{+0.0206+0.0441}_{-0.0209-0.0422}$ with $1σ$ and $2σ$ confidence level. In addition, the effect of a cosmic string fluid on unified model in VG theory are investigated. In this case it is found that the $Λ$CDM ($Ω_{s}=0$, $β=0$ and $α=0$) is included in this VG-UM model at $1σ$ confidence level, and the larger errors are given: $Ω_{s}=-0.0106^{+0.0312+0.0582}_{-0.0305-0.0509}$ (dimensionless energy density of cosmic string), $(\frac{G}{G_{0}})_{z=3.5}\simeq 1.0008^{+0.0620}_{-0.0584}$ and $(\frac{\dot{G}}{G})_{today}\simeq -0.3496^{+26.3135}_{-26.3135}\times 10^{-13}yr^{-1}$.

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