Spacetime of Pseudo-Kasnermetric with shrinking timelike dimension and the Big Rip

Described is a Pseudo-Kasnermetric of local spacetime with shrinking timelike dimension-coordinate (TLD) as a solution of GRT gravity fieldequation. This metric leads to normal flatMinkowski-spacetime in time intervall of present time but changes with changing of timelikecoordinate from a 1-dimensional only timelike spacetime in early universe to a more 3-dimensionalpure spatial space in far future with only spacelike coordinates or dimensions (SLD) and shrinkingtimelike coordinate until it reaches the Planck-time. This whole description leads to the model ofa spacetime with permanent shrinking timelike dimension and a prediction of maximal length ofspacelike dimernsions through existence of a rip-length.