### Abstract

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.

Original language | English |
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Title of host publication | Proceedings of the 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011 |

Publisher | Kyoto University |

Pages | 232-235 |

Number of pages | 4 |

Publication status | Published - 2011 |

Event | 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011 - Sendai Duration: 2011 Sep 26 → 2011 Sep 29 |

### Other

Other | 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011 |
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City | Sendai |

Period | 11/9/26 → 11/9/29 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Proceedings of the 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011*(pp. 232-235). Kyoto University.

**Oscillating bianchi ix universe in horava-lifshitz gravity.** / Misonoh, Yosuke; Maeda, Keiichi; Kobayashi, Tsutomu.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011.*Kyoto University, pp. 232-235, 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011, Sendai, 11/9/26.

}

TY - GEN

T1 - Oscillating bianchi ix universe in horava-lifshitz gravity

AU - Misonoh, Yosuke

AU - Maeda, Keiichi

AU - Kobayashi, Tsutomu

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84887444159&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887444159&partnerID=8YFLogxK

M3 - Conference contribution

SP - 232

EP - 235

BT - Proceedings of the 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011

PB - Kyoto University

ER -