No-hair conjectures, primordial shear and protoinflationary initial conditions

Abstract

Anisotropic inflationary background geometries are analyzed in the context of an extended gauge action where the electric and magnetic susceptibilities are not bound to coincide and depend on the inflaton field. After deriving various classes of solutions with electric and magnetic hairs, we discuss the problem of the initial boundary conditions of the shear parameter and consider a globally neutral plasma as a possible relic of a preinflationary stage of expansion. While electric hairs are washed out by the finite value of the protoinflationary conductivity, magnetic hairs can persist and introduce a tiny amount of shear causing a different inflationary rate of expansion along orthogonal spatial directions. The plasma interactions are a necessary criterion to discriminate between physical and unphysical initial conditions but they are not strictly sufficient to warrant the stability of a given magnetic solution.

29 pages, no figures

References in corpus (8)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Inflationary Universe with Anisotropic Hair
• Anisotropic Power-law Inflation
• Large-scale magnetic fields in the inflationary universe
• A Model of Universe Anisotropization
• Non-Gaussianity Consistency Relations, Initial States and Back-reaction
• Hanbury Brown-Twiss interferometry and second-order correlations of inflaton quanta
• Property of the spectrum of large-scale magnetic fields from inflation

Cited by in corpus (9)

• Generation of large-scale magnetic fields, non-Gaussianity, and primordial gravitational waves in inflationary cosmology
• Spectator electric fields, de Sitter space-time and the Schwinger effect
• Inflationary magnetogenesis, derivative couplings and relativistic Van der Waals interactions
• Hypermagnetic gyrotropy, inflation and the baryon asymmetry of the Universe
• Uniform gradient expansions
• Violation of consistency relations and the protoinflationary transition
• Hypermagnetic knots and gravitational radiation at intermediate frequencies
• Non-linear curvature inhomogeneities and backreaction for relativistic viscous fluids
• The hypermagnetic power spectra and the phases of Sakharov oscillations