2014/11/30 by Chao-Qiang Geng, Chung-Chi Lee, Jia-Liang Shen
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Exponential function #Lambda #Mathematical analysis #Mathematical physics #Mathematics #Neutrino #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Spectral line #Type (biology) #astro-ph.CO
paper · pdf · doi:10.1016/j.physletb.2014.11.061
published as Phys. Lett. B 740 (2015) 285-290 · 15 pages, 5 figures, updated version accepted by PLB
arxiv created 2014/12/01 · openalex publication_date 2014/12/06 · arxiv updated 2014/12/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate the matter power spectra in the power law and exponential types of viable f(R) theories along with massive neutrinos. The enhancement of the matter power spectrum is found to be a generic feature in these models. In particular, we show that in the former type, such as the Starobinsky model, the spectrum is magnified much larger than the latter one, such as the exponential model. A greater scale of the total neutrino mass, ∑mν, is allowed in the viable f(R) models than that in the ΛCDM one. We obtain the constraints on the neutrino masses by using the CosmoMC package with the modified MGCAMB. Explicitly, we get ∑mν<0.451(0.214)eV at 95% C.L. in the Starobinsky (exponential) model, while the corresponding one for the ΛCDM model is ∑mν<0.200eV. Furthermore, by treating the effective number of neutrino species Neff as a free parameter along with ∑mν, we find that Neff=3.78−0.84+0.64(3.47−0.60+0.74) and ∑mν=0.533−0.411+0.254 (<0.386)eV at 95% C.L. in the Starobinsky (exponential) model.