We study a vacuum Bianchi IX universe in the context of Hořava-Lifshitz (HL) gravity. In particular, we focus on the classical dynamics of the universe and analyze how anisotropy changes the history of the universe. If the initial anisotropy is large, we nd the universe which ends up with a big crunch after oscillations if a cosmological constant ∧ is zero or negative. For ∧ > 0, we find a variety of histories of the universe, that is de Sitter expanding universe after oscillations in addition to the oscillating solution and the previous big crunch solution. This fate of the universe shows sensitive dependence of initial conditions, which is one of the typical properties of a chaotic system. If the initial anisotropy is near the upper bound, we find the universe starting from a big bang and ending up with a big crunch for ∧ ≤ 0, while de Sitter expanding universe starting from a big bang for ∧ > 0.
|出版ステータス||Published - 2011|
|イベント||21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011 - Sendai, Japan|
継続期間: 2011 9月 26 → 2011 9月 29
|Conference||21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011|
|Period||11/9/26 → 11/9/29|
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