Stability analysis of the Lorentz Chern-Simons expanding solutions

Details Stability analysis of the Lorentz Chern-Simons expanding solutions Stability analysis of the Lorentz Chern-Simons expanding solutions

Sep 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011phrvd..84f3014c&link_type=abstract

Physical Review D, vol. 84, Issue 6, id. 063014

Mathematics

Logic

Relativity And Gravitation, Modified Theories Of Gravity, Origin And Formation Of The Universe, Mathematical And Relativistic Aspects Of Cosmology

Scientific paper

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 T00 and T00+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.

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