Weighing neutrinos in $f(R)$ gravity in light of BICEP2

Abstract

We constrain the neutrino mass in $f(R)$ gravity using the latest observations from the Planck, BAO and BICEP2 data. We find that the measurement on the B-modes can break the degeneracy between the massive neutrinos and the $f(R)$ gravity. We find a non-zero value of the Compton wavelengths $B_0$ at a $68\%$ confidence level for the $f(R)$ model in the presence of massive neutrinos when the BICEP2 data is used. Furthermore, the tension on the tensor-to-scalar ratios between the measured values from Plank and BICEP2 is significantly reconciled in our model.

8 pages,4 figures

References in corpus (14)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Conditions for the cosmological viability of f(R) dark energy models
• Are f(R) dark energy models cosmologically viable ?
• The Large Scale Structure of f(R) Gravity
• Approaches to Understanding Cosmic Acceleration
• Solar System constraints to general f(R) gravity
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Searching for modified growth patterns with tomographic surveys
• Solar System tests DO rule out 1/R gravity
• Testing gravity with CAMB and CosmoMC
• Cosmology Based on f(R) Gravity Admits 1 eV Sterile Neutrinos
• Cosmological neutrino mass detection: The best probe of neutrino lifetime
• Matter power spectrum in f(R) gravity with massive neutrinos
• Conservative Estimates of the Mass of the Neutrino from Cosmology

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• Probing $f(R)$ cosmology with sterile neutrinos via measurements of scale-dependent growth rate of structure
• Constraints on neutrino mass in the scenario of vacuum energy interacting with cold dark matter after Planck 2018
• Prospects for weighing neutrinos in interacting dark energy models using joint observations of gravitational waves and $\gamma$-ray bursts
• Prospects for searching for sterile neutrinos with gravitational wave and $\gamma$-ray burst joint observations