4.7 Article

Role of the extra coupling in the kinetic term in Horava-Lifshitz gravity

期刊

PHYSICAL REVIEW D
卷 90, 期 12, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.90.124050

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  1. Fundacao para a Ciencia e Tecnologia, Portugal - POPH/FSE [SFRH//BD/76630/2011]
  2. Fundação para a Ciência e a Tecnologia [SFRH/BD/76630/2011] Funding Source: FCT

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We analyze different claims on the role of the coupling constant lambda in so-called lambda-R models, a minimal generalization of general relativity inspired by Horava-Lifshitz gravity. The dimensionless parameter. appears in the kinetic term of the Einstein-Hilbert action, leading to a one-parameter family of classical theories. Performing a canonical constraint analysis for closed spatial hypersurfaces, we obtain a result analogous to that of Bellorin and Restuccia, who showed that all nonprojectable lambda-R models are equivalent to general relativity in the asymptotically flat case. However, the tertiary constraint present for closed boundary conditions assumes a more general form. We juxtapose this with an earlier finding by Giulini and Kiefer, who ruled out a range of lambda-R models by a physical, cosmological argument. We show that their analysis can be interpreted consistently within the projectable sector of Horava-Lifshitz gravity, thus resolving the apparent contradiction.

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