Palatini approach and large-scale magnetogenesis

Abstract

Large-scale magnetogenesis is analyzed within the Palatini approach when the gravitational action is supplemented by a contribution that is nonlinear in the Einstein-Hilbert term. While the addition of the nonlinear terms does not affect the scalar modes of the geometry during the inflationary phase, the tensor-to-scalar ratio is nonetheless suppressed. In this context it is plausible to have a stiff phase following the standard inflationary stage provided the potential has a quintessential form. The large-scale magnetic fields can even be a fraction of the nG over typical length scales of the order of the Mpc prior to the gravitational collapse of the protogalaxy.

arXiv comment41 pages, 5 figures; corrected typos to match the version to be published in JCAP

References in corpus (40)

• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Cosmological Imprint of an Energy Component with General Equation of State
• Planck 2018 results. X. Constraints on inflation
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• Quintessential inflation
• How long before the end of inflation were observable perturbations produced?
• Effective Field Theory for Inflation
• The Magnetized Universe
• Primordial Hypermagnetic Fields and Triangle Anomaly
• Primordial magnetic fields from pseudo-Goldstone bosons
• Primordial Magnetic Fields From String Cosmology
• Deflationary Universe Scenario
• Cosmology with inhomogeneous magnetic fields
• Gravitational waves constraints on post-inflationary phases stiffer than radiation
• Cosmological Magnetic Fields from Primordial Helicity
• Primordial Magnetic Fields
• Palatini inflation in models with an $R^2$ term
• Inflation with $R^2$ term in the Palatini formalism
• Reheating in $R^2$ Palatini inflationary models
• Rescuing Quartic and Natural Inflation in the Palatini Formalism
• Dynamically induced Planck scale and inflation in the Palatini formulation
• On the variation of the gauge couplings during inflation
• Primordial Hypermagnetic Knots
• Hypermagnetic Knots, Chern-Simons Waves and the Baryon Asymmetry
• Scale-Invariant Quadratic Gravity and Inflation in the Palatini Formalism
• Low-scale Quintessential Inflation
• Early Cosmological Evolution of Primordial Electromagnetic Fields
• Reheating in quintessential inflation via gravitational production of heavy massive particles: A detailed analysis
• Magnetogenesis, spectator fields and CMB signatures
• Scale-invariant Helical Magnetic Fields from Inflation
• Constant-roll in the Palatini-$R^2$ models
• One-Loop Renormalization and Asymptotic Behaviour of a Higher-Derivative Scalar Theory in Curved Spacetime
• Post-inflationary phases stiffer than radiation and Palatini formulation
• Ultraviolet behaviour of Higgs inflation models
• Dynamics of a Dark Matter Field with a Quartic Self-Interaction Potential
• Ohmic currents and pre-decoupling magnetism
• Weyl invariance and the conductivity of the protoinflationary plasma
• Hypermagnetic gyrotropy, inflation and the baryon asymmetry of the Universe
• The symmetries of inflationary magnetogenesis and the plasma initial conditions

Cited by in corpus (4)

• Hypermagnetogenesis from axion inflation: Model-independent estimates
• Issues in Palatini ${\mathcal{R}}^2$ inflation: Bounds on the Reheating Temperature
• Primordial Helical Magnetic Fields from Inflation?
• Effective field theory of magnetogenesis identify necessary and sufficient conditions