Neutrino Dark Energy -- Revisiting the Stability Issue

Abstract

A coupling between a light scalar field and neutrinos has been widely discussed as a mechanism for linking (time varying) neutrino masses and the present energy density and equation of state of dark energy. However, it has been pointed out that the viability of this scenario in the non-relativistic neutrino regime is threatened by the strong growth of hydrodynamic perturbations associated with a negative adiabatic sound speed squared. In this paper we revisit the stability issue in the framework of linear perturbation theory in a model independent way. The criterion for the stability of a model is translated into a constraint on the scalar-neutrino coupling, which depends on the ratio of the energy densities in neutrinos and cold dark matter. We illustrate our results by providing meaningful examples both for stable and unstable models.

24 pages, 8 figures, stable scenario with negative sound speed squared included, figures added, references added, conclusions unchanged. Matches version to be published in JCAP

References in corpus (77)

• 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
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• Cosmology and the Fate of Dilatation Symmetry
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• A Line of Sight Approach to Cosmic Microwave Background Anisotropies
• k-Inflation
• Essentials of k-essence
• Coupled Quintessence
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
• Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge
• Cosmological Results from High-z Supernovae
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Cosmological Tracking Solutions
• Kinetically Driven Quintessence
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Can the dark energy equation-of-state parameter w be less than -1?
• Massive neutrinos and cosmology
• Accelerated Universe from Gravity Leaking to Extra Dimensions
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Cosmological parameters from combining the Lyman-alpha forest with CMB, galaxy clustering and SN constraints
• Quintessence arising from exponential potentials
• Detecting Dark Energy in Orbit -- the Cosmological Chameleon
• Cosmic Concordance and Quintessence
• Dark Energy from Mass Varying Neutrinos
• Extended Quintessence
• Evading Equivalence Principle Violations, Cosmological and other Experimental Constraints in Scalar Field Theories with a Strong Coupling to Matter
• Nonminimal coupling and quintessence
• Probing dark energy perturbations: the dark energy equation of state and speed of sound as measured by WMAP
• Large Scale Structure in Bekenstein's theory of relativistic Modified Newtonian Dynamics
• The shape of the SDSS DR5 galaxy power spectrum
• On the spherical collapse model in dark energy cosmologies
• Cosmology and Astrophysical Constraints of Gauss-Bonnet Dark Energy
• Linear and non-linear perturbations in dark energy models
• Baryon bias and structure formation in an accelerating universe
• Cosmological constraints on f(R) gravity theories within the Palatini approach
• Neutrino masses and the number of neutrino species from WMAP and 2dFGRS
• Strongly Coupled Chameleon Fields: New Horizons in Scalar Field Theory
• Neutrino Oscillations as a Probe of Dark Energy
• Cosmology with massive neutrinos coupled to dark energy
• Neutrino Models of Dark Energy
• Neutrino masses and the dark energy equation of state - relaxing the cosmological neutrino mass bound
• On the stability of Dark Energy with Mass-Varying Neutrinos
• Stationary dark energy with a baryon-dominated era: solving the coincidence problem with a linear coupling
• Growth of perturbations in dark matter coupled with quintessence
• Cosmology of Mass-Varying Neutrinos Driven by Quintessence: Theory and Observations
• Viability of f(R) Theories with Additional Powers of Curvature
• Dark Energy and Neutrino Mass Limits from Baryogenesis
• The neutrino mass bound from WMAP-3, the baryon acoustic peak, the SNLS supernovae and the Lyman-alpha forest
• The Tensor to Scalar Ratio of Phantom Dark Energy Models
• Adiabatic instability in coupled dark energy-dark matter models
• Observables sensitive to absolute neutrino masses: A reappraisal after WMAP-3y and first MINOS results
• Constraints on the sound speed of dark energy
• Solar mass-varying neutrino oscillations
• Early Quintessence in Light of WMAP
• Constraints on flat cosmologies with tracking Quintessence from Cosmic Microwave Background observations
• Mass Varying Neutrinos in the Sun
• Neutrino masses and cosmic radiation density: Combined analysis
• Small Scale Structure Formation in Chameleon Cosmology
• Supersymmetric Theories of Neutrino Dark Energy
• Dark Energy as a Modification of the Friedmann Equation
• Stable Models of superacceleration
• Speed of Sound in the Mass Varying Neutrinos Scenario
• Confronting mass-varying neutrinos with MiniBooNE
• Testing Mass Varying Neutrino With Short Gamma Ray Burst
• Dynamics of perfect fluid Unified Dark Energy models
• Probing Neutrino Dark Energy with Extremely High-Energy Cosmic Neutrinos
• Weighing neutrinos in the presence of a running primordial spectral index
• Detecting dark energy in long baseline neutrino oscillations
• Stability in MaVaN Models
• Upper limits on neutrino masses from cosmology

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• Cosmology and Fundamental Physics with the Euclid Satellite
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• Phenomenology with Massive Neutrinos
• Large-scale instability in interacting dark energy and dark matter fluids
• Neutrino Mass Ordering from Oscillations and Beyond: 2018 Status and Future Prospects
• Coupled and Extended Quintessence: theoretical differences and structure formation
• Growing Matter
• Constraining Interactions in Cosmology's Dark Sector
• Adiabatic instability in coupled dark energy-dark matter models
• Variable gravity: A suitable framework for quintessential inflation
• Quintessential inflation with canonical and noncanonical scalar fields and Planck 2015 results
• Effects of dark sectors' mutual interaction on the growth of structures
• Dark spinor models in gravitation and cosmology
• Disformal Scalar Fields and the Dark Sector of the Universe
• Neutrino clustering in growing neutrino quintessence
• Unification of inflation and dark energy {\it à la} quintessential inflation
• Scalar-Fluid theories: cosmological perturbations and large-scale structure
• Clarifying spherical collapse in coupled dark energy cosmologies
• Long Range Interactions in Cosmology: Implications for Neutrinos
• Microscopic and Macroscopic Behaviors of Palatini Modified Gravity Theories
• Time-varying neutrino mass from a supercooled phase transition: current cosmological constraints and impact on the ${\Omega }_m$-${\sigma }_8$ plane
• Very large scale structures in growing neutrino quintessence
• Reconstruction of the neutrino mass as a function of redshift
• Neutrino lumps and the Cosmic Microwave Background
• Origin of Delta N_eff as a Result of an Interaction between Dark Radiation and Dark Matter
• Mass varying neutrinos, symmetry breaking, and cosmic acceleration
• Perturbative approach for mass varying neutrinos coupled to the dark sector in the generalized Chaplygin gas scenario
• Cosmology-marginalized approaches in Bayesian model comparison: the neutrino mass as a case study
• Stationary condition in a perturbative approach for mass varying neutrinos
• Neutrino Lumps in Quintessence Cosmology
• The dynamical viability of scalar-tensor gravity theories
• Model independent constraints on mass-varying neutrino scenarios
• Oscillating nonlinear large scale structure in growing neutrino quintessence
• Neutrino Condensate as Origin of Dark Energy
• Mass freezing in growing neutrino quintessence
• Mass Varying Neutrinos, Quintessence, and the Accelerating Expansion of the Universe
• Nonlinear matter spectra in growing neutrino quintessence
• Possible scenario for MaVaN's as the only neutrino flavor conversion mechanism in the Sun
• Nonlinear growing neutrino cosmology
• Coupling dark energy with Standard Model states
• Scalar field-perfect fluid correspondence and nonlinear perturbation equations
• Stability of mass varying particle lumps
• Stable Large-Scale Perturbations in Interacting Dark-Energy Model
• Challenging the Cosmological Constant
• Mass-varying neutrino in light of cosmic microwave background and weak lensing
• Dark Matter Decaying into a Fermi Sea of Neutrinos
• Majorana Neutrino Superfluidity and Stability of Neutrino Dark Energy
• Neutrino Dark Energy With More Than One Neutrino Species
• Thermodynamic equilibrium conditions for mass varying particle structures
• Relaxing neutrino mass bounds by a running cosmological constant
• Do Bound Structures Brake Cosmic Acceleration?
• A new take on the inflationary quintessence
• Neutrino dark energy and leptogenesis with TeV scale triplets
• Mass varying neutrinos with different quintessence potentials
• Dark energy from the motions of neutrinos
• Mass varying dark matter in effective GCG scenarios
• Tachyon field non-minimally coupled to massive neutrino matter
• Backreaction in Growing Neutrino Quintessence
• False Vacuum in the Supersymmetric Mass Varying Neutrinos Model
• Probing Long-Range Forces Between Neutrinos with Cosmic Structures
• Relaxing cosmological constraints on current neutrino masses
• Dynamical neutrino masses in the generalized Chaplygin gas scenario with mass varying CDM
• Naturalness and stability of the generalized Chaplygin gas in the seesaw cosmon scenario
• Cosmic Acceleration from Causal Backreaction in a Smoothly Inhomogeneous Universe
• Growing neutrino cosmology
• Neutrino Dark Energy in Grand Unified Theories
• Dark energy from Neutrinos and Standard Model Higgs potential
• Mass Varying Neutrinos in Supernovae
• Phenomenology of Hybrid Scenarios of Neutrino Dark Energy
• Coupling active and sterile neutrinos in the cosmon plus seesaw framework
• Cosmon as the Modulon: Non-Gaussianity from Dark Energy
• Equilibrium and stability of neutrino lumps as TOV solutions
• The cosmological Mass Varying Neutrino model in the late universe