Can cosmological perturbations produce early universe vorticity?

Abstract

In this special issue article, based on the talk with the same title in session B5 (Theoretical and Mathematical Cosmology) at GR19, we review the case of vorticity generation in cosmology using cosmological perturbation theory. We show that, while at linear order the vorticity evolution equation has no source term in the absence of anisotropic stress, at second order vorticity is sourced by gradients in entropy and energy density perturbations. We then present some estimates for the magnitude and scale dependence of the vorticity power spectrum using simple input power spectra for the energy density and entropy perturbations. Finally, we close with possible directions for future work followed by some hints toward the observational importance of the vorticity so generated, and the possibility of primordial magnetic field generation.

10 pages, invited article to appear in special GR19 issue of CQG

References in corpus (5)

• Cosmological Magnetic Field: a fossil of density perturbations in the early universe
• Vorticity of IGM Velocity Field on Large Scales
• Cosmological magnetic fields from nonlinear effects
• Primordial magnetic fields from second-order cosmological perturbations: Tight coupling approximation
• Cosmological Structure Formation Creates Large-Scale Magnetic Fields

Cited by in corpus (9)

• Dissipative collapse of axially symmetric, general relativistic, sources: A general framework and some applications
• 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
• Diamagnetic field states in cosmological plasmas
• General Perfect Fluid Perturbations of Homogeneous and Orthogonal Locally Rotationally Symmetric Class II Cosmologies
• Cosmological Perturbations: Vorticity, Isocurvature and Magnetic Fields
• Magnetogenesis from isocurvature initial conditions
• General Perturbations of Homogeneous and Orthogonal Locally Rotationally Symmetric Class II Cosmologies with Applications to Dissipative Fluids
• Non-linear effects in early Universe cosmology