Vorticity generation at second order in cosmological perturbation theory

Abstract

We show that at second order in cosmological perturbation theory vorticity generation is sourced by entropy gradients. This is an extension of Crocco's theorem to a cosmological setting.

4 pages, revtex4; v2: discussion expanded, references added, version being submitted; v3: corresponds to version published in PRD

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• Second-order Gauge-invariant Cosmological Perturbation Theory: Current Status
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• Vorticity and entropy production in tilted Szekeres spacetimes
• The intrinsic B-mode polarisation of the Cosmic Microwave Background
• Weak lensing generated by vector perturbations and detectability of cosmic strings
• Estimating the amount of vorticity generated by cosmological perturbations in the early universe
• The tight-coupling approximation for baryon acoustic oscillations
• Second Order Perturbations During Inflation Beyond Slow-roll
• Vorticity and magnetic field production in relativistic ideal fluids
• Lagrangian theory for cosmic structure formation with vorticity: Newtonian and post-Friedmann approximations
• Shearing and geodesic axially symmetric perfect fluids that do not produce gravitational radiation
• Vorticity production and survival in viscous and magnetized cosmologies
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• Primordial magnetic fields generated by the non-adiabatic fluctuations at pre-recombination era
• Effects of non-linearities on magnetic field generation
• The Music of the Aetherwave - B-mode Polarization in Einstein-Aether Theory
• Practical tools for third order cosmological perturbations
• Multi-fluid cosmology: An illustration of fundamental principles
• Intrinsic Entropy Perturbations from the Dark Sector
• Comparing different formulations of non-linear cosmological perturbation theory
• The magnitude of the non-adiabatic pressure in the cosmic fluid
• Cosmological Perturbations: Vorticity, Isocurvature and Magnetic Fields
• Isocurvature initial conditions for second order Boltzmann solvers
• Magnetogenesis from isocurvature initial conditions
• Recombination era magnetic fields from axion dark matter
• Cosmic Acceleration from Causal Backreaction in a Smoothly Inhomogeneous Universe
• Locally extracting scalar, vector and tensor modes in cosmological perturbation theory
• Constraining Inflationary Scenarios with Braneworld Models and Second Order Cosmological Perturbations
• The Non-Adiabatic Pressure Perturbation and Non-Canonical Kinetic Terms in Multifield Inflation
• The future of cosmology and the role of non-linear perturbations
• The intrinsic bispectrum of the CMB from isocurvature initial conditions
• Non-linear effects in early Universe cosmology
• Double power series method for approximating cosmological perturbations
• The Quantum Origin of Cosmic Structure