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arXiv 1104.3978hep-thastro-ph.COgr-qc
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Horava-Lifshitz引力场中振荡的Bianchi IX宇宙

Oscillating Bianchi IX Universe in Horava-Lifshitz Gravity

Yosuke Misonoh, Kei-ichi Maeda, Tsutomu Kobayashi

摘要:

我们研究了真空Bianchi IX宇宙的背景下,Hoenava-Lifshitz(HL)引力。特别是,我们专注于宇宙的经典动力学,并分析各向异性如何改变宇宙的历史。对于小的各向异性,我们发现一个振荡的宇宙,以及反弹宇宙的情况下,弗里德曼-勒梅特-罗伯逊-沃克(FLRW)时空。然而,如果初始的各向异性是大的,我们发现宇宙最终与一个大的紧缩振荡后,如果宇宙学常数$Λ$是零或负的。对于$Λ>0$,我们发现了宇宙的多种历史,即除了振荡解和以前的大挤压解之外,还有deSitter振荡后的膨胀宇宙。宇宙的这种命运表现出对初始条件的敏感依赖性,这是混沌系统的典型性质之一。当初始各向异性接近上界时,对于$Λ\leq 0$,我们发现宇宙是从大爆炸开始的,并以大挤压结束,而对于$Λ>0$,我们发现de Sitter宇宙是从大爆炸开始的.

英文摘要:

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. For small anisotropy, we find an oscillating universe as well as a bounce universe just as the case of the Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime. However, if the initial anisotropy is large, we find the universe which ends up with a big crunch after oscillations if a cosmological constant $Λ$ is zero or negative. For $Λ>0$, 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 $Λ\leq 0$, while de Sitter expanding universe starting from a big bang for $Λ>0$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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