Cosmic Electromagnetic Fields due to Perturbations in the Gravitational Field
arXiv:1203.6032 · doi:10.1103/PhysRevD.86.083533
Abstract
We use non-linear gauge-invariant perturbation theory to study the interaction of an inflation produced seed magnetic field with density and gravitational wave perturbations in an almost Friedmann-Lemaître-Robertson-Walker (FLRW) spacetime. We compare the effects of this coupling under the assumptions of poor conductivity, infinite conductivity and the case where the electric field is sourced via the coupling of velocity perturbations to the seed field in the ideal magnetohydrodynamic (MHD) regime, thus generalizing, improving on and correcting previous results. We solve our equations for long wavelength limits and numerically integrate the resulting equations to generate power spectra for the electromagnetic field variables, showing where the modes cross the horizon. We find that the rotation of the electric field dominates the power spectrum on small scales, in agreement with previous arguments.
arXiv comment16 pages, 3 figures, published in PRD
References in corpus (37)
- Origin of Galactic and Extragalactic Magnetic Fields
- The stochastic gravitational wave background from turbulence and magnetic fields generated by a first-order phase transition
- Perturbations of spacetime: gauge transformations and gauge invariance at second order and beyond
- Primordial Magnetic Fields From String Cosmology
- xPerm: fast index canonicalization for tensor computer algebra
- Cosmology with inhomogeneous magnetic fields
- Gravitational wave production: A strong constraint on primordial magnetic fields
- Cosmological Magnetic Field: a fossil of density perturbations in the early universe
- Electromagnetic fields in curved spacetimes
- Magnetic field generation from cosmological perturbations
- Large-scale magnetic fields from density perturbations
- Covariant Analysis of Gravitational Waves in a Cosmological Context
- Cosmological perturbations on a magnetised Bianchi I background
- Gauge dependence in the theory of non-linear spacetime perturbations
- Cosmological Electromagnetic Fields due to Gravitational Wave Perturbations
- Cosmological magnetic fields from nonlinear effects
- Superadiabatic-type magnetic amplification in conventional cosmology
- Non-Linear N-Parameter Spacetime Perturbations: Gauge Transformations
- Primordial magnetic fields from second-order cosmological perturbations: Tight coupling approximation
- Gravitational wave amplification of seed magnetic fields
- Two-parameter non-linear spacetime perturbations: gauge transformations and gauge invariance
- Coupling of radial and non-radial oscillations of relativistic stars: gauge-invariant formalism
- Resonant amplification of magnetic seed fields by gravitational waves in the early universe
- Challenges for creating magnetic fields by cosmic defects
- Cosmic magnetic fields from velocity perturbations in the early Universe
- Cosmological density fluctuations and gravity waves: A covariant approach to gauge-invariant non-linear perturbation theory
- Mode Spectrum of the Electromagnetic Field in Open Universe Models
- Primordial magnetic seed field amplification by gravitational waves
- On inhomogeneous magnetic seed fields and gravitational waves within the MHD limit
- Limits on stochastic magnetic fields: A defense of our paper [1]
- Primordial magnetic seed field amplification by gravitational waves: comment on gr-qc/0503006
- Interactions of cosmological gravitational waves and magnetic fields
- A Cautionary Note on Cosmological Magnetic Fields
- Response to ``Comment on `Primordial magnetic seed field amplification by gravitational waves' "
- Locally extracting scalar, vector and tensor modes in cosmological perturbation theory
- A numerical study of primordial magnetic field amplification by inflation-produced gravitational waves
- On constraint-consistency, covariant operators, gauge-invariance, etc