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

Understand

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.