Cosmic constraint on massive neutrinos in viable f(R) gravity with producing \(\Lambda \) CDM background expansion

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• 作者：Jianbo Lu ; Molin Liu ; Yabo Wu ; Yan Wang ; Weiqiang Yang
• 刊名：The European Physical Journal C
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：76
• 期：12
• 全文大小：828KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Elementary Particles, Quantum Field Theory; Nuclear Physics, Heavy Ions, Hadrons; Quantum Field Theories, String Theory; Measurement Science and Instrumentation; Astronomy, Astrophysics and Cosmology;
• 出版者：Springer Berlin Heidelberg
• ISSN：1434-6052
• 卷排序：76

文摘

Tensions between several cosmic observations were found recently, such as the inconsistent values of \(H_{0}\) (or \(\sigma _{8}\)) were indicated by the different cosmic observations. Introducing the massive neutrinos in \(\Lambda \)CDM could potentially solve the tensions. Viable f(R) gravity producing \(\Lambda \)CDM background expansion with massive neutrinos is investigated in this paper. We fit the current observational data: Planck-2015 CMB, RSD, BAO, and SNIa to constrain the mass of neutrinos in viable f(R) theory. The constraint results at 95% confidence level are: \(\Sigma m_\nu <0.202\) eV for the active-neutrino case, \(m_{\nu , \mathrm{sterile}}^\mathrm{eff}<0.757\) eV with \(N_\mathrm{eff}<3.22\) for the sterile neutrino case. For the effects due to the mass of the neutrinos, the constraint results on model parameter at 95% confidence level become \(f_{R0}\times 10^{-6}> -1.89\) and \(f_{R0}\times 10^{-6}> -2.02\) for two cases, respectively. It is also shown that the fitting values of several parameters much depend on the neutrino properties, such as the cold dark matter density, the cosmological quantities at matter–radiation equality, the neutrino density and the fraction of baryonic mass in helium. Finally, the constraint result shows that the tension between direct and CMB measurements of \(H_0\) gets slightly weaker in the viable f(R) model than that in the base \(\Lambda \)CDM model.