Primordial magnetic fields and gravitational baryogenesis in nonlinear electrodynamics

Abstract

The amplification of the primordial magnetic fields and the gravitational baryogenesis, a mechanism that allows to generate the baryon asymmetry in the Universe by means of the coupling between the Ricci scalar curvature and the baryon current, are reviewed in the framework of the nonlinear electrodynamics. To study the amplification of the primordial magnetic field strength, we write down the gauge invariant wave equations and then solve them (in the long wavelength approximation) for three different eras of the Universe: de Sitter, the reheating and the radiation dominated era. Constraints on parameters entering the nonlinear electrodynamics are obtained by using the amplitude of the observed galactic magnetic fields and the baryon asymmetry, which are characterized by the dimensionless parameters $r\sim 10^{-37}$ and ${\eta }_B\lesssim 9\times 10^{-11}$, respectively.

10 pages, 3 tables, 6 figures. Accepted for publication in Physical Review D

References in corpus (89)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Magnetic Fields in the Early Universe
• Origin of Galactic and Extragalactic Magnetic Fields
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• Physics of Strongly Magnetized Neutron Stars
• New Regular Black Hole Solution from Nonlinear Electrodynamics
• Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly
• The Magnetized Universe
• Non-Singular Charged Black Hole Solution for Non-Linear Source
• Primordial magnetic fields from pseudo-Goldstone bosons
• Leptogenesis from Gravity Waves in Models of Inflation
• Constraints on a Primordial Magnetic Field
• Primordial Magnetic Fields From String Cosmology
• Gravitational Baryogenesis
• Breaking Of Conformal Invariance And Electromagnetic Field Generation In The Universe
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• Faraday Rotation of Microwave Background Polarization by a Primordial Magnetic Field
• Cosmological Limits on Slightly Skew Stresses
• Non-linear electrodynamics and the acceleration of the universe
• Cosmology with inhomogeneous magnetic fields
• Inflation model constraints from the Wilkinson Microwave Anisotropy Probe three-year data
• What Is The BBN Prediction for the Baryon Density and How Reliable Is It?
• Radio Quiet Pulsars with Ultra-Strong Magnetic Fields
• New Type of Regular Black Holes and Particlelike Solutions from Nonlinear Electrodynamics
• Cosmological Magnetic Fields from Primordial Helicity
• Primordial Magnetic Fields
• Primordial Magnetic Fields via Spontaneous Breaking of Lorentz Invariance
• Phase equilibration in bubble collisions
• Photon Splitting Cascades in Gamma-Ray Pulsars and the Spectrum of PSR1509-58
• Gravitational Leptogenesis and Its Signatures in CMB
• Regular (2+1)-dimensional black holes within non-linear Electrodynamics
• Baryogenesis in $f(R)$-Theories of Gravity
• Large-scale magnetic fields from density perturbations
• Evolving wormhole geometries within nonlinear electrodynamics
• Exact solutions of f(R) gravity coupled to nonlinear electrodynamics
• Scalar Electrodynamics and Primordial Magnetic Fields
• Revisiting Nucleosynthesis Constraints on Primordial Magnetic Fields
• Primordial magnetic fields from inflation?
• Constraints on the Strength of Primordial Magnetic Fields from Big Bang Nucleosynthesis Revisited
• Primordial magnetic fields induced by cosmological particle creation
• Quintessence and Spontaneous Leptogenesis
• Constraints on the Strength of a Primordial Magnetic Field from Big Bang Nucleosynthesis
• Gravitational Leptogenesis and Neutrino Mass Limit
• Big Bang Nucleosynthesis Constraints on Primordial Magnetic Fields
• Non-Abelian Born--Infeld cosmology
• Inflation-Produced Magnetic Fields in Nonlinear Electrodynamics
• Born-Infeld Cosmologies
• Limits on possible magnetic fields at nucleosynthesis time
• Cosmic microwave background polarization, Faraday rotation and stochastic gravity-waves backgrounds
• Inflation-Produced Magnetic Fields in R^n F^2 and I F^2 models
• Gauge Invariant Wave Equations in Curved Space-Times and Primordial Magnetic Fields
• K-essential Leptogenesis
• Nonlinear electrodynamics and the gravitational redshift of highly magnetised neutron stars
• Nonlinear electrodynamics and the surface redshift of pulsars
• Generation of Cosmic Magnetic Fields and Gravitational Waves at Neutrino Decoupling
• Primordial magnetic fields and nonlinear electrodynamics
• A Note on Gravitational Baryogenesis
• Large-scale magnetic field generation by alpha-effect driven by collective neutrino-plasma interaction
• Electromagnetic Origin of the CMB Anisotropy in String Cosmology
• Large-scale magnetic fields from inflation due to Chern-Simons-like effective interaction
• Stability of nonlinear magnetic black holes
• Gravitational baryogenesis in Gauss-Bonnet braneworld cosmology
• Primordial magnetic fields from metric perturbations
• New mechanism for the generation of primordial seeds for the cosmic magnetic fields
• The interrelation between the generation of large-scale electric fields and that of large-scale magnetic fields during inflation
• Anisotropic Born-Infeld Cosmologies
• Standard Model Extension with Gravity and Gravitational Baryogenesis
• Gravitational wave amplification of seed magnetic fields
• Singularity-free Bianchi spaces with nonlinear electrodynamics
• Cosmic Microwave Background Radiation anisotropy with primordial magnetic fields
• A nongravitational wormhole
• Property of the spectrum of large-scale magnetic fields from inflation
• Origin of Magnetic Fields in the Universe Due to Nonminimal Gravitational-Electromagnetic Coupling
• Nonlinear electrodynamics in Bianchi spacetimes
• Resonant amplification of magnetic seed fields by gravitational waves in the early universe
• Leptogenesis from Spin-Gravity Coupling Following Inflation
• Radion Induced Spontaneous Baryogenesis
• Gravitational Leptogenesis
• The Stability of Primordial Magnetic Fields Produced by Phase Transitions
• Einstein's gravitational lensing and nonlinear electrodynamics
• Spacetime dynamics and baryogenesis in braneworld
• Baryogenesis after Hyperextended Inflation
• Nonlinear electrodynamics and the Pioneer 10/11 spacecraft anomaly
• Nonlinear electrodynamics and the variation of the fine structure constant
• Magnetic Photon Splitting: the S-Matrix Formulation in the Landau Representation
• Electrodynamics in the presence of an axion
• Interactions of cosmological gravitational waves and magnetic fields
• Electrostatics of Pagels-Tomboulis effective model

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• Neutrino coupling to cosmological background: A review on gravitational Baryo/Leptogenesis
• Thermodynamics and Phase Transitions of Nonlinear Electrodynamics Black Holes in an Extended Phase Space
• Cosmologies in Horndeski's second-order vector-tensor theory
• Large scale magnetic fields from gravitationally coupled electrodynamics
• Self-interaction in the Bopp-Podolsky electrodynamics: Can the observable mass of a charged particle depend on its acceleration?
• Cosmological magnetic field survival
• Gauge field back-reaction in Born Infeld cosmologies
• Origin of cosmic magnetic fields: Superadiabatically amplified modes in open Friedmann universes
• Probing nonlinear electrodynamics in slowly rotating spacetimes through neutrino astrophysics
• Regular multihorizon black holes in General Relativity
• Inflation Driven by Non-Linear Electrodynamics
• Cosmic magnetization in curved and Lorentz violating space-times
• The amplification of cosmological magnetic fields in Extended $f(T,B)$ Teleparallel Gravity
• Superhorizon magnetic fields
• Gravito-magnetic amplification in cosmology
• Nonlinear electrodynamics and CMB polarization
• Matter-antimatter asymmetry induced by non-linear electrodynamics
• Observational constraints on electromagnetic Born-Infeld cosmology
• Large-scale magnetic fields from inflation due to a $CPT$-even Chern-Simons-like term with Kalb-Ramond and scalar fields
• Topological Mod(A)Max AdS black holes
• Smooth magnetogenesis
• Non-linear Electrodynamics in Blandford-Znajeck Energy Extraction
• Asymptotic Freedom and Vacuum Polarization Determine the Astrophysical End State of Relativistic Gravitational Collapse: Quark--Gluon Plasma Star Instead of Black Hole