### Abstract

A new formulation of non-projectable Horava-Lifshitz gravity, naturally realized as a representation of the master constraint algebra studied by loop quantum gravity researchers, is presented. This yields a consistent canonical theory with first class constraints. It captures the essence of Horava-Lifshitz gravity in retaining only spatial diffeomorphisms (instead of full space-time covariance) as the physically relevant non-trivial gauge symmetry; at the same time the local Hamiltonian constraint needed to eliminate the extra mode is equivalently enforced by the master constraint.

Original language | English |
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Title of host publication | Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011 |

Editors | Roland Triay, Jean Tran Thanh Van, Ludwik M. Celnikier |

Publisher | The Gioi Publishers |

Pages | 315-322 |

Number of pages | 8 |

ISBN (Electronic) | 6047706193, 9786047706198 |

Publication status | Published - 2011 Jan 1 |

Event | 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011 - Quy Nhon, Viet Nam Duration: 2011 Dec 15 → 2011 Dec 21 |

### Publication series

Name | Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011 |
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### Conference

Conference | 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011 |
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Country | Viet Nam |

City | Quy Nhon |

Period | 11-12-15 → 11-12-21 |

### All Science Journal Classification (ASJC) codes

- Astronomy and Astrophysics

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## Cite this

Yu, H. L., Soo, C., & Yang, J. (2011). New formulation of Horava-Lifshitz quantum gravity as a master constraint theory. In R. Triay, J. Tran Thanh Van, & L. M. Celnikier (Eds.),

*Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011*(pp. 315-322). (Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011). The Gioi Publishers.