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We perform the Hamiltonian analysis for the lowest-order effective action, upto second order in derivatives, of the complete Horava theory. The modelincludes the invariant terms that depend on \partial_i ln N proposed by Blas,Pujolas and Sibiryakov. We show that the algebra of constraints closes. The"Hamiltonian" constraint is of second-class behavior and it can be regarded asan elliptic partial differential equation for N. The linearized version of thisequation is a Poisson equation for N that can be solved consistently. Thepreservation in time of the Hamiltonian constraint yields an equation that canbe consistently solved for a Lagrange multiplier of the theory. The model hassix propagating degrees of freedom in the phase space, corresponding to threeeven physical modes. When compared with the \lambda R model studied by us in aprevious paper, it lacks two second-class constraints, which leads to the extraeven mode.

Consistency of the Hamiltonian formulation of the lowest-order effective action of the complete Horava theory