A locally anisotropic geometrical model of space-time based on CMBR
  We study a locally anisotropic model of General Relativity in the framework of a more general geometrical structure than the Riemannian one. In this model the observable anisotropy of the CMBR (WMAP) is represented by a tensor of anisotropy and it is included in the metric structure of space-time. As well, some interesting special cases of spaces are considered. 
Panagiotis G. Labropoulos, Panayiotis C. Stavrinos