Classical stability of a homogeneous, anisotropic inflating space-time

Abstract

We study the classical stability of an anisotropic space-time seeded by a spacelike, fixed norm, dynamical vector field in a vacuum-energy-dominated inflationary era. It serves as a model for breaking isotropy during the inflationary era. We find that, for a range of parameters, the linear differential equations for small perturbations about the background do not have a growing mode. We also examine the energy of fluctuations about this background in flat-space. If the kinetic terms for the vector field do not take the form of a field strength tensor squared then there is a negative energy mode and the background is unstable. For the case where the kinetic term is of the form of a field strength tensor squared we show that perturbations about the background have positive energy at lowest order.

12 pages, no figures; references added, content in section V revised and some clarification made in text; minor typos corrected, v4 closely resembles version published in Phys. Rev. D; in v5 - incorrect argument in section V removed and one reference added

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Cited by in corpus (22)

• Instability of anisotropic cosmological solutions supported by vector fields
• Constraints and Stability in Vector Theories with Spontaneous Lorentz Violation
• Instability of the ACW model, and problems with massive vectors during inflation
• Primordial Power Spectra from Anisotropic Inflation
• Anisotropic Inflation from Vector Impurity
• Inflation and dark energy from three-forms
• Aether Compactification
• Vector Curvaton with varying Kinetic Function
• Vector Curvaton without Instabilities
• Instabilities in the Aether
• Particle Production of Vector Fields: Scale Invariance is Attractive
• Observable effects of anisotropic bubble nucleation
• Spectrum of Perturbations in Anisotropic Inflationary Universe with Vector Hair
• Anisotropic Power Law Inflation from Rolling Tachyons
• Massive Gauge-flation
• Sigma-Model Aether
• Dark Energy and Dark Matter in General Relativity with local scale invariance
• Casimir Energy and Brane Stability
• Timelike Vector Field Dynamics in the Early Universe
• Modified Gravitational Equations on Braneworld with Lorentz Invariant Violation
• Exact black hole solutions in Einstein-Aether Scalar field theory
• Observational Constraints on Local Lorentz Invariance