Black ring and Kerr ellipsoid - Solitonic configurations in modified Finsler gravity

We study an effective Einstein-Finsler theory on tangent Lorentz bundle constructed as a minimal extension of general relativity. Black ring and Kerr-like ellipsoid exact solutions and solitonic configurations are presented. In this endeavor the relevant metric depends not only on four-dimensional spacetime coordinates and also on velocity type variables that can be interpreted as additional coordinates in the space of extra dimensions.