Consistent Horava gravity without extra modes and equivalent to general relativity at the linearized level

Understand

We consider a Horava theory that has a consistent structure of constraints and propagates two physical degrees of freedom.

• The Lagrangian includes the terms of Blas, Pujolas and Sibiryakov.
• The theory can be obtained from the general Horava's formulation by setting lambda = 1/3.
• This value of lambda is protected in the quantum formulation of the theory by the presence of a constraint.