Whether Christ had a true body after His Resurrection?

Objections

Objection 1 : It would seem that Christ did not have a true body after His Resurrection. For a true body cannot be in the same place at the same time with another body. But after the Resurrection Christ's body was with another at the same time in the same place: since He entered among the disciples "the doors being shut," as is related in Jn. 20:26. Therefore it seems that Christ did not have a true body after His Resurrection.
Objection 2 : Further, a true body does not vanish from the beholder's sight unless perchance it be corrupted. But Christ's body "vanished out of the sight" of the disciples as they gazed upon Him, as is related in Lk. 24:31. Therefore, it seems that Christ did not have a true body after His Resurrection.
Objection 3 : Further, every true body has its determinate shape. But Christ's body appeared before the disciples "in another shape," as is evident from Mk. 15:12. Therefore it seems that Christ did not possess a true body after His Resurrection.