Dynamic rearrangement of vacuum and the phase transitions in the   geometric structure of space-time
  It is shown that in the case of spontaneous breaking of the original gauge symmetry, a dynamic rearrangement of vacuum may lead to the formation of some anisotropic condensates. The appearance of such condensates causes the respective phase transitions in the geometric structure of space-time and creates a flat anisotropic, i.e. Finslerian event space. Actually there arises either a flat relativistically-invariant Finslerian space with partially broken 3D isotropy, i.e. axially-symmetric space, or a flat relativistically-invariant Finslerian space with entirely broken 3D isotropy. The fact that any entirely anisotropic relativistically-invariant Finslerian event space belongs to a 3-parameter family of such spaces gives rise to a fine structure of the respective geometric phase transitions. In the present work the fine structure of the geometric phase transitions is studied by classifying all the metric states of the entirely anisotropic event space and the respective mass shell equations. 
George Yu. Bogoslovsky
hep-th gr-qc math-ph math.MP