Abstract

We consider anisotropic gravity at the conformal point of the kinetic term of the Horava Gravity. This value is protected under quantum corrections by the constraints of the theory. The symmetry of the z = 3 interacting terms, z being the time scale, which ensure the renormalizability of the theory is softly broken by z = 1 interacting terms. We show that the resulting theory has the same number of physical degrees of freedom as General Relativity. Moreover the linearized theory around the Minkowski solution is exactly equivalent to General Relativity. We also study the spherically symmetric solutions to the fields equations. We find a close expression for the solutions. It terms out that the solutions are structurally stable from the right and unstable from the left around the value of the coupling constant corresponding to the Schwarzchild solution of General Relativity.