Dynamical and Gravitational Instability of Oscillating-Field Dark Energy and Dark Matter

Abstract

Coherent oscillations of a scalar field can mimic the behavior of a perfect fluid with an equation-of-state parameter determined by the properties of the potential, possibly driving accelerated expansion in the early Universe (inflation) and/or in the Universe today (dark energy) or behaving as dark matter. We consider the growth of inhomogeneities in such a field, mapping the problem to that of two coupled anharmonic oscillators. We provide a simple physical argument that oscillating fields with a negative equation-of-state parameter possess a large-scale dynamical instability to growth of inhomogeneities. This instability renders these models unsuitable for explaining cosmic acceleration. We then consider the gravitational instability of oscillating fields in potentials that are close to, but not precisely, harmonic. We use these results to show that if axions make up the dark matter, then the small-scale cutoff in the matter power spectrum is around $10^{-15}{M}_{\oplus }$.

arXiv comment9 PRD-style pages with 5 embedded figures

References in corpus (33)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Cosmological Imprint of an Energy Component with General Equation of State
• Cold and Fuzzy Dark Matter
• Universe Reheating after Inflation
• Supersymmetric Q-balls as dark matter
• CDM Models with a Smooth Component
• A classification of scalar field potentials with cosmological scaling solutions
• A New Cosmological Model of Quintessence and Dark Matter
• Earth-mass dark-matter haloes as the first structures in the early Universe
• The cosmon model for an asymptotically vanishing time-dependent cosmological ``constant''
• Tachyonic Instability and Dynamics of Spontaneous Symmetry Breaking
• B-ball Baryogenesis and the Baryon to Dark Matter Ratio
• Dynamical Lambda Models of Structure Formation
• What mass are the smallest protohalos?
• Relic Gravity Waves from Braneworld Inflation
• Spintessence! New Models for Dark Matter and Dark Energy
• I-balls
• Galactic Substructure and Direct Detection of Dark Matter
• Inflation without Slow Roll
• Can the quintessence be a complex scalar field?
• A Viable Cosmology with a Scalar Field Coupled to the Trace of the Stress-Tensor
• Equation of State of Oscillating Brans-Dicke Scalar and Extra Dimensions
• Steep Inflation followed by Born-Infeld Reheating
• Sine-Gordon Parametric Resonance
• Difficulty of a spinning complex scalar field to be dark energy
• Inflation during oscillations of the inflaton
• Parametric Amplification of Density Perturbation in the Oscillating inflation
• Scalar Field Oscillations Contributing to Dark Energy
• Oscillating Inflation with a non-minimally coupled scalar field
• Cosmology of Nonlinear Oscillations
• Some Remarks on Oscillating Inflation
• Particle production in the oscillating inflation model

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• Cosmological implications of ultra-light axion-like fields
• Self-resonance after inflation: oscillons, transients and radiation domination
• The Large-Misalignment Mechanism for the Formation of Compact Axion Structures: Signatures from the QCD Axion to Fuzzy Dark Matter
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• Structure formation with scalar field dark matter: the field approach
• Structure formation in cosmologies with oscillating dark energy
• Hubble-induced phase transitions on the lattice with applications to Ricci reheating
• Slow-Roll Suppression of Adiabatic Instabilities in Coupled Scalar Field-Dark Matter Models
• Dark Energy from $\alpha$-Attractors
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• Finite temperature effects in Bose-Einstein Condensed dark matter halos
• Evolution of Oscillating Scalar Fields as Dark Energy
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• Gravitational wave production after inflation with cuspy potentials
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• Jeans mass-radius relation of self-gravitating Bose-Einstein condensates and typical parameters of the dark matter particle
• Impact of kinetic and potential self-interactions on scalar dark matter
• Scale-Dependent Growth from a Transition in Dark Energy Dynamics
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• ALP Dark Matter Mini-Clusters from Kinetic Fragmentation
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• Sourcing Dark Matter and Dark Energy from $\alpha$-attractors
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• Unraveling the early universe's equation of state and primordial black hole production with PTA, BBN, and CMB observations
• Kick it like DESI: PNGB quintessence with a dynamically generated initial velocity
• Observational constraints on the oscillating dark energy cosmologies
• The ground states of baryoleptonic Q-balls in supersymmetric models
• Oscillon formation from preheating in asymmetric inflationary potentials
• From model dynamics to oscillating dark energy parameterisation
• Tabletop potentials for inflation from $f(R)$ gravity
• Gravitational waves from binary black holes in a self-interacting scalar dark matter cloud
• Towards alleviating the $H_0$ and $S_8$ tensions with Early Dark Energy - Dark Matter drag
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• Supersonic friction of a black hole traversing a self-interacting scalar dark matter cloud
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• Non-Relativistic Formation of Scalar Clumps as a Candidate for Dark Matter
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• The cosmological evolution of ultralight axionlike scalar fields
• Constraining Recent Oscillations in Quintessence Models with Euclid
• Extreme gravitational waves from inflaton fragmentation
• Cosmological effect of coherent oscillation of ultralight scalar fields in a multicomponent universe
• Quantum Remnant as Dark Energy and Dark Matter