Gravito-magnetic amplification in cosmology

Abstract

Magnetic fields interact with gravitational waves in various ways. We consider the coupling between the Weyl and the Maxwell fields in cosmology and study the effects of the former on the latter. The approach is fully analytical and the results are gauge-invariant. We show that the nature and the outcome of the gravito-magnetic interaction depends on the electric properties of the cosmic medium. When the conductivity is high, gravitational waves reduce the standard (adiabatic) decay rate of the B-field, leading to its superadiabatic amplification. In poorly conductive environments, on the other hand, Weyl-curvature distortions can result into the resonant amplification of large-scale cosmological magnetic fields. Driven by the gravitational waves, these B-fields oscillate with an amplitude that is found to diverge when the wavelengths of the two sources coincide. We present technical and physical aspects of the gravito-magnetic interaction and discuss its potential implications.

Typos corrected, clarifications added, published in PRD

References in corpus (16)

• Strong magnetic fields in normal galaxies at high redshifts
• Relativistic cosmology and large-scale structure
• Generalized Ohm's law for relativistic plasmas
• Cosmology with inhomogeneous magnetic fields
• A Global Probe of Cosmic Magnetic Fields to High Redshifts
• Large-scale magnetic fields in the inflationary universe
• Magnetic fields in the early universe
• Generation of Cosmological Seed Magnetic Fields from Inflation with Cutoff
• Inflation-Produced Magnetic Fields in Nonlinear Electrodynamics
• Inflation-Produced Magnetic Fields in R^n F^2 and I F^2 models
• Primordial magnetic fields and nonlinear electrodynamics
• Large scale magnetic fields from gravitationally coupled electrodynamics
• Large-scale magnetic fields from inflation due to Chern-Simons-like effective interaction
• Primordial magnetic fields and gravitational baryogenesis in nonlinear electrodynamics
• The critical role of magnetic helicity in astrophysical large-scale dynamos
• Large-scale magnetic fields in cosmology

Cited by in corpus (11)

• Primordial magnetogenesis
• Gravito-electromagnetic analogies
• Gauge field back-reaction in Born Infeld cosmologies
• Origin of cosmic magnetic fields: Superadiabatically amplified modes in open Friedmann universes
• A tale of analogies: gravitomagnetic effects, rotating sources, observers and all that
• Gravito-electromagnetic resonances
• Can a marginally open universe amplify magnetic fields?
• Large-scale magnetic fields from inflation due to a $CPT$-even Chern-Simons-like term with Kalb-Ramond and scalar fields
• Gravito-electromagnetic resonances in Minkowski space
• Electromagnetic signatures of far-field gravitational radiation in the 1+3 approach
• The Primordial Magnetic Field (PMF) Generated in Large Field Inflation (LFI), Natural Inflation (NI) and $R^2$-Inflation by $f^{2}FF$ Model