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

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• 作者：Jianbo Lu ; Yanfeng Xu ; Yabo Wu
• 刊名：The European Physical Journal C - Particles and Fields
• 出版年：2015
• 出版时间：October 2015
• 年：2015
• 卷：75
• 期：10
• 全文大小：1,301 KB
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• 作者单位：Jianbo Lu (1)
  Yanfeng Xu (1)
  Yabo Wu (1)
  
  1. Department of Physics, Liaoning Normal University, Dalian, 116029, People鈥檚 Republic of China
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Elementary Particles and Quantum Field Theory
  Nuclear Physics, Heavy Ions and Hadrons
  Physics beyond the Standard Model
  Measurement Science and Instrumentation
  Astronomy, Astrophysics and Cosmology
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1434-6052

文摘

Observations indicate that most of the universal matter is invisible and the gravitational constant G(t) maybe depends on time. A theory of the variational G (VG) is explored in this paper, naturally producing the useful dark components in the universe. We utilize the following 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 the parameters with the covariance matrix, constraints on the variation of G are \(\left( \frac{G}{G_{0}}\right) _{z=3.5}\simeq 1.0015^{+0.0071}_{-0.0075}\) and \(\left( \frac{\dot{G}}{G}\right) _{\mathrm{today}}\simeq -0.7252^{+2.3645}_{-2.3645}\times 10^{-13}~\mathrm{year}^{-1}\), with small uncertainties around the constants. The limit on the equation of state of dark matter is \(w_{0\mathrm{dm}}=0.0072^{+0.0170}_{-0.0170}\), assuming \(w_{0\mathrm{de}}=-1\) in the unified model, and the dark energy is \(w_{0de}=-0.9986^{+0.0011}_{-0.0011}\), assuming \(w_{0\mathrm{dm}}=0\) a priori. The restrictions on the UM parameters are \(B_{s}=0.7442^{+0.0137+0.0262}_{-0.0132-0.0292}\) and \(\alpha =0.0002^{+0.0206+0.0441}_{-0.0209-0.0422}\) with \(1\sigma \) and \(2\sigma \) confidence level. In addition, the effects of a cosmic string fluid on the unified model in VG theory are investigated. In this case it is found that the \(\Lambda \)CDM (\(\Omega _{s}=0\), \(\beta =0\), and \(\alpha =0\)) is included in this VG-UM model at \(1\sigma \) confidence level, and larger errors are given: \(\Omega _{s}=-0.0106^{+0.0312+0.0582}_{-0.0305-0.0509}\) (dimensionless energy density of cosmic string), \(\left( \frac{G}{G_{0}}\right) _{z=3.5}\simeq 1.0008^{+0.0620}_{-0.0584}\), and \(\left( \frac{\dot{G}}{G}\right) _{\mathrm{today}}\simeq -0.3496^{+26.3135}_{-26.3135}\times 10^{-13}~\mathrm{year}^{-1}\).