Classical stability of a homogeneous, anisotropic inflating space-time

Details Classical stability of a homogeneous, anisotropic inflating space-time Classical stability of a homogeneous, anisotropic inflating space-time

2008-01-18

arxiv.org/abs/0801.2950v5

Phys.Rev.D77:083510,2008; Erratum-ibid.D79:029903,2009

Astronomy and Astrophysics

Astrophysics

12 pages, no figures; references added, content in section V revised and some clarification made in text; minor typos correcte

Scientific paper

10.1103/PhysRevD.77.083510

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.

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