Classical stability of a homogeneous, anisotropic inflating space-time

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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.