Inflationary Universe with Anisotropic Hair

Abstract

We study an inflationary scenario with a vector field coupled with an inflaton field and show that the inflationary universe is endowed with anisotropy for a wide range of coupling functions. This anisotropic inflation is a tracking solution where the energy density of the vector field follows that of the inflaton field irrespective of initial conditions. We find a universal relation between the anisotropy and a slow-roll parameter of inflation. Our finding has observational implications and gives a counter example to the cosmic no-hair conjecture.

10 pages, 2 figures; an error in abstract corrected; (v2) replaced with version accepted by PRL, title changed from "Hairy Inflation"

References in corpus (21)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Imprints of a Primordial Preferred Direction on the Microwave Background
• Vector Inflation
• Generation of Large-Scale Magnetic Fields in Single-Field Inflation
• Vector Field Models of Inflation and Dark Energy
• Instability of anisotropic cosmological solutions supported by vector fields
• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Large-scale magnetic fields from inflation in dilaton electromagnetism
• Cosmic Microwave Background Statistics for a Direction-Dependent Primordial Power Spectrum
• Large-scale magnetic fields in the inflationary universe
• Primordial statistical anisotropy generated at the end of inflation
• Higher Curvature Corrections to Primordial Fluctuations in Slow-roll Inflation
• Instability of the ACW model, and problems with massive vectors during inflation
• Bayesian analysis of sparse anisotropic universe models and application to the 5-yr WMAP data
• Can We See Lorentz-Violating Vector Fields in the CMB?
• Anisotropic Inflation from Vector Impurity
• Lorentz Violating Inflation
• CMB Temperature Anisotropy from Broken Spatial Isotropy due to an Homogeneous Cosmological Magnetic Field
• Bayesian Limits on Primordial Isotropy Breaking
• Some Impacts of Lorentz Violation on Cosmology

Cited by in corpus (294)

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