# Anisotropic Quantum Gravity

Comments: 8 pages, 3 figures. Version to appear in PRB

We consider the anisotropic quantum gravity model, in which the curvature of the spacetime is a vector of the metric. We study the effect of anisotropic transformation of the metric on the relaxation time of the Einstein metric in the presence of the curvature of the spacetime. The relaxation time is determined by the relative velocity of the spacetime and the curvature of the spacetime. We find that the anisotropic transformation of the metric is responsible to the relaxation time of the Einstein metric in the presence of the curvature of the spacetime. We show that the relaxation time of the Einstein metric is real and analytically reproduces the anisotropic transformation of the metric.