The cosmological background of vector modes

Abstract

We investigate the spectrum of vector modes today which is generated at second order by density perturbations. The vector mode background that is generated by structure formation is small but in principle it contributes to the integrated Sachs-Wolfe effect, to redshift-space distortions and to weak lensing. We recover, clarify and extend previous results, and explain carefully why no vorticity is generated in the fluid at second order. The amplitude of the induced vector mode in the metric is around 1% that of the first-order scalars on small scales. We also calculate the power spectrum and the energy density of the vector part of the shear at second order.

9 pages, 2 figures. Version to appear in JCAP; minor improvements and additional references

References in corpus (14)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• The cosmological gravitational wave background from primordial density perturbations
• Relativistic cosmology and large-scale structure
• Cosmological Magnetic Field: a fossil of density perturbations in the early universe
• An analytic model for the bispectrum of galaxies in redshift space
• The impact of cosmic neutrinos on the gravitational-wave background
• Cosmological magnetic fields from nonlinear effects
• Vector modes generated by primordial density fluctuations
• Primordial magnetic fields from second-order cosmological perturbations: Tight coupling approximation
• Cosmological Structure Formation Creates Large-Scale Magnetic Fields
• Challenges for creating magnetic fields by cosmic defects
• Non-linear vector perturbations in a contracting universe

Cited by in corpus (52)

• What galaxy surveys really measure
• General relativity and cosmic structure formation
• Galaxy number counts to second order and their bispectrum
• Relativistic N-body simulations with massive neutrinos
• Computing General Relativistic effects from Newtonian N-body simulations: Frame dragging in the post-Friedmann approach
• The influence of structure formation on the cosmic expansion
• N-body methods for relativistic cosmology
• Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification. II - Derivation
• The seed magnetic field generated during recombination
• Vorticity generation at second order in cosmological perturbation theory
• Probing Primordial Chirality with Galaxy Spins
• The Generation of Vorticity in Cosmological N-body Simulations
• Weak-lensing observables in relativistic N-body simulations
• Does small scale structure significantly affect cosmological dynamics?
• GRAMSES: a new route to general relativistic $N$-body simulations in cosmology. Part I. Methodology and code description
• Super-inflation and generation of first order vector perturbations in ELKO
• The effect of early radiation in N-body simulations of cosmic structure formation
• Fully nonlinear and exact perturbations of the Friedmann world model
• Weak lensing induced by second-order vector mode
• Magnetic field amplification by the small-scale dynamo in the early Universe
• Gravitational waves from primordial scalar and tensor perturbations
• Weak lensing generated by vector perturbations and detectability of cosmic strings
• Vorticity generation in the Universe: A perturbative approach
• Constraint on the primordial vector mode and its magnetic field generation from seven-year Wilkinson Microwave Anisotropy Probe Observations
• Estimating the amount of vorticity generated by cosmological perturbations in the early universe
• f(R) gravity on non-linear scales: The post-Friedmann expansion and the vector potential
• The tight-coupling approximation for baryon acoustic oscillations
• The cosmic web connection to the dark matter halo distribution through gravity
• Numerical solutions to Einstein's equations in a shearing-dust Universe: a code comparison
• Lagrangian theory for cosmic structure formation with vorticity: Newtonian and post-Friedmann approximations
• Cosmic Filament Spin from Dark Matter Vortices
• Second-order cosmological perturbations. I. Produced by scalar-scalar coupling in synchronous gauge
• Second-order cosmological perturbations. II. Produced by scalar-tensor and tensor-tensor couplings
• Second-order cosmological perturbations. IV. Produced by scalar-tensor and tensor-tensor couplings during the radiation dominated stage
• The Music of the Aetherwave - B-mode Polarization in Einstein-Aether Theory
• Vector modes in $\Lambda$CDM: the gravitomagnetic potential in dark matter haloes from relativistic $N$-body simulations
• Redshift-space distortions from vector perturbations
• Looking for a twist: probing the cosmological gravitomagnetic effect via weak lensing-kSZ cross correlations
• Second-order cosmological perturbations. III. Produced by scalar-scalar coupling during radiation-dominated stage
• Multi-Scale Perturbation Theory I: Methodology and Leading-Order Bispectrum Corrections in the Matter-Dominated Era
• The density distributions of cosmic structures: impact of the local environment on weak-lensing convergence
• General Perfect Fluid Perturbations of Homogeneous and Orthogonal Locally Rotationally Symmetric Class II Cosmologies
• Second-order Gauge-invariant Cosmological Perturbation Theory: Current Status updated in 2019
• Redshift-space distortions from vector perturbations II: Anisotropic signal
• Relativistic second-order initial conditions for simulations of large-scale structure
• General Perturbations of Homogeneous and Orthogonal Locally Rotationally Symmetric Class II Cosmologies with Applications to Dissipative Fluids
• Relativistic matter bispectrum of cosmic structures on the light cone
• Primordial gravitational waves and curvature perturbations induced energy density perturbation
• Observational assessment of the viability of de Sitter-Gödel-de Sitter phase transition
• The frame-dragging vector potential on galaxy scales from Dark-Matter-only Newtonian $N$-body simulations
• Perturbative and numerical study of nonlinear relativistic effects in weak lensing
• Mapping the cosmic mass distribution with stacked weak gravitational lensing and Doppler lensing