### Abstract

A class of Bianchi type II expanding solutions in a Lorentz Chern-Simons theory has been known to break the cosmic no-hair theorem. These solutions do not approach the late-time de Sitter Universe. We will show that there are two independent solutions classified by the parameter p for each given cosmological constant Λ. One of them is in the small-p phase; the other solution is in the large-p phase. It can be shown that an unstable mode always exists for the solution in its small-p phase that comes with smaller energy T_{00} and T_{00}+T/2. The result indicates that the large-p phase is unlikely to be stable from an observation of a modified version of Wald's theorem.

Original language | English |
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Article number | 063014 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 84 |

Issue number | 6 |

DOIs | |

State | Published - 26 Sep 2011 |

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## Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*84*(6), [063014]. https://doi.org/10.1103/PhysRevD.84.063014