Let us be clear thinking on this. There is no preferred reference frame - the Einstein equivalence principle is fundamental to GR and assumes this. If time stops in my reference frame, this is what I measure. It may not agree with the time measured by an in-falling observer but it is the only measurement available to me. Orac seems to believe that the supposed impossibility of Born rigidity that he has read about is more significant than the equivalence principle but he is simply wrong in this.