Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-04-20
Phys.Rev.D84:064030,2011
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, 21 figures, 5 tables
Scientific paper
10.1103/PhysRevD.84.064030
We study a vacuum Bianchi IX universe in the context of Ho\v{r}ava-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 $\Lambda$ is zero or negative. For $\Lambda>0$, 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 $\Lambda\leq 0$, while de Sitter expanding universe starting from a big bang for $\Lambda>0$.
Kobayashi Tsutomu
Maeda Kei--ichi
Misonoh Yosuke
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