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arXiv · 1010.5531

Closure of the algebra of constraints for a nonprojectable Ho\v{r}ava model

Jorge Bellorín·Alvaro Restuccia
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Abstract

We perform the Hamiltonian analysis for a nonprojectable Horava model whose potential is composed of R and R^2 terms. We show that Dirac's algorithm for the preservation of the constraints can be done in a closed way, hence the algebra of constraints for this model is consistent. The model has an extra, odd, scalar mode whose decoupling limit can be seen in a linear-order perturbative analysis on weakly varying backgrounds. Although our results for this model point in favor of the consistency of the Ho\v{r}ava theory, the validity of the full nonprojectable theory still remains unanswered.

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Jorge Bellorín, Alvaro Restuccia. 2010-10-26. Closure of the algebra of constraints for a nonprojectable Ho\v{r}ava model. https://doi.org/10.1103/physrevd.83.044003

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