Covariant description of kinetic freeze-out through a finite time-like layer

The freeze- out ( FO) problem is addressed for a covariant FO probability and a finite FO layer with a time- like normal vector continuing the line of studies introduced in Molnar et al ( 2006 Phys. Rev. C 74 024907). The resulting post- FO momentum distribution functions are presented and discussed. We show that in general the post- FO distributions are non- thermal and asymmetric distributions even for time- like FO situations.