Matter Power Spectra in Viable $f(R)$ Gravity Models with Massive Neutrinos

Abstract

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, $\Sigma m_{\nu }$, is allowed in the viable $f(R)$ models than that in the $\Lambda$CDM one. We obtain the constraints on the neutrino masses by using the CosmoMC package with the modified MGCAMB. Explicitly, we get $\Sigma m_{\nu }<0.451(0.214)\mathrm{eV}$ at 95% C.L. in the Starobinsky (exponential) model, while the corresponding one for the $\Lambda$CDM model is $\Sigma m_{\nu }<0.200\mathrm{eV}$. Furthermore, by treating the effective number of neutrino species $N_{\mathrm{eff}}$ as a free parameter along with $\Sigma m_{\nu }$, we find that $N_{\mathrm{eff}}=3.78_{-0.84}^{+0.64}(3.47_{-0.60}^{+0.74})$ and $\Sigma m_{\nu }=0.533_{-0.411}^{+0.254}$ ($<0.386)\mathrm{eV}$ at 95% C.L. in the Starobinsky (exponential) model.

arXiv comment15 pages, 5 figures, updated version accepted by PLB

References in corpus (40)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Dynamics of dark energy
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Efficient Computation of CMB anisotropies in closed FRW models
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• f(R) Theories Of Gravity
• Cosmological parameters from SDSS and WMAP
• f(R) theories
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Evidence for Neutrino Oscillations from the Observation of Electron Anti-neutrinos in a Muon Anti-Neutrino Beam
• Disappearing cosmological constant in f(R) gravity
• The Fourth Data Release of the Sloan Digital Sky Survey
• Massive neutrinos and cosmology
• The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 9 Spectroscopic Galaxy Sample
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Dark Energy
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• Event Excess in the MiniBooNE Search for ${\bar{\nu }}_{\mu }\to {\bar{\nu }}_e$ Oscillations
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Distinguishing Modified Gravity from Dark Energy
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• Curing singularities in cosmological evolution of F(R) gravity
• The WiggleZ Dark Energy Survey: testing the cosmological model with baryon acoustic oscillations at z=0.6
• Testing gravity with CAMB and CosmoMC
• Exponential Gravity
• Testing Gravity Against Early Time Integrated Sachs-Wolfe Effect
• Cosmological evolution in exponential gravity
• Cosmology Based on f(R) Gravity Admits 1 eV Sterile Neutrinos
• Constraining models of $f(R)$ gravity with Planck and WiggleZ power spectrum data
• Matter power spectrum in f(R) gravity with massive neutrinos
• Weighing Neutrinos in $f(R)$ gravity
• Singularity phenomena in viable f(R) gravity
• Testing $f(R)$ dark energy model with the large scale structure
• Weighing neutrinos in $f(R)$ gravity in light of BICEP2

Cited by in corpus (22)

• Probing the interaction between dark matter and dark energy in the presence of massive neutrinos
• Effects of neutrino mass hierarchies on dynamical dark energy models
• Weighing neutrinos in the scenario of vacuum energy interacting with cold dark matter: application of the parameterized post-Friedmann approach
• Exploring neutrino mass and mass hierarchy in the scenario of vacuum energy interacting with cold dark matter
• F(R) gravity's rainbow and its Einstein counterpart
• Galaxy clustering, CMB and supernova data constraints on $\varphi$CDM model with massive neutrinos
• Observational constraints on varying neutrino-mass cosmology
• Probing $f(R)$ cosmology with sterile neutrinos via measurements of scale-dependent growth rate of structure
• Cosmological Constraints on Non-flat Exponential $f(R)$ Gravity
• Cosmic constraint on massive neutrinos in viable f(R) gravity with producing LCDM background expansion
• Constraints on neutrino mass in the scenario of vacuum energy interacting with cold dark matter after Planck 2018
• Spatial Curvature in $f(R)$ Gravity
• Matter Power Spectra in Viable $f(R)$ Gravity Models with Dynamical Background
• Linearized physics and gravitational-waves polarizations in the Palatini formalism of GBD theory
• Cosmology based on $f(R)$ gravity with $\mathcal{O}(1)$ eV sterile neutrino
• Prospects for weighing neutrinos in interacting dark energy models using joint observations of gravitational waves and $\gamma$-ray bursts
• Cosmological evolutions in Tsujikawa model of $f(R)$ Gravity
• Constraints on the Combined Models with $R^{2-q}$ Inflation and Viable $f(R)$ Dark Energy
• Cosmological constraints on $\Lambda (\alpha )$CDM models with time-varying fine structure constant
• Cosmic acceleration in asymptotically Ricci flat Universe
• Large-scale structure power spectrum from scalar-tensor gravity
• Cosmological constraints on viable $f(R)$ models using weak lensing