Nonprojectable Horava-Lifshitz gravity without the unwanted scalar graviton

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Authors

KLUSOŇ Josef CHAICHIAN Masud OKSANEN Markku

Year of publication 2015
Type Article in Periodical
Magazine / Source Physical review D
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.1103/PhysRevD.92.104043
Field Theoretical physics
Keywords Gravitation; Hamiltonian Formalism
Description 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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