Primordial Density Perturbations from Magnetic Fields

Abstract

Perturbations to the cosmic baryon density - and thus to the total-matter density - can be induced by magnetohydronamic forces if there are primordial magnetic fields. The power spectrum for these density perturbations was first provided in 1996, but without much in the way of detail in the derivation, and there has been confusion in the intervening years about this calculation. In this brief note, we re-derive this power spectrum using modern conventions, provide a simplified result, and identify some of the discrepancies in the literature.

arXiv comment4 pages, 2 Figures; v2 has minor changes and is the updated published version

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Cited by in corpus (9)

• Detecting Dark Matter Substructures on Small Scales with Fast Radio Bursts
• Primordial magnetic fields: consistent initial conditions and impact on high-z structures
• Matter power spectrum induced by primordial magnetic fields: from the linear to the non-linear regime
• Revisiting primordial magnetic fields through 21-cm physics: Bounds and forecasts
• Phenomenology of a vector-field-induced (and possibly parity breaking) compensated isocurvature perturbation
• Constraints on Primordial Magnetic Fields from High Redshift Stellar Mass Density
• Can WIMPs Survive the Legacy of a Magnetised Early Universe?
• Simulated Rotation Measure Sky from Primordial Magnetic Fields
• The Impact of Inhomogeneous Perturbations of the Inflaton on the Cosmological Primordial Magnetic Field