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Nonprojectable Horava-Lifshitz gravity without the unwanted scalar graviton

2015/09/30 by Masud Chaichian, Масуд Чайчиан, J. Klusoň +2 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Coupling (piping) #Coupling constant #Geometry #Gravitation #Graviton #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics #Physics #Scalar (mathematics) #Scalar field #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.92.104043

20 pages, v2:references added, minor corrections, journal version

arxiv created 2015/11/06 · openalex publication_date 2015/11/23 · arxiv updated 2015/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider a way of eliminating the unwanted scalar graviton from Horava-Lifshitz gravity that is achieved via introduction of certain additional constraints. We perform canonical analysis of both projectable and nonprojectable versions of the theory. We obtain the structure of constraints in each case, and analyze its dependence on the values of the coupling constants involved in the additional constraints. In the nonprojectable theory, the scalar graviton is absent when the coupling constants have certain values, while for other values the scalar graviton appears. The projectable theory is free from the scalar graviton regardless of the values of the coupling constants, even though the structure of the constraints does depend on the value of a coupling constant.

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