  This paper explores the status of some notions which are usually associated
to time, like datations, chronology, durations, causality, cosmic time and time
functions in the Einsteinian relativistic theories. It shows how, even if some
of these notions do exist in the theory or for some particular solution of it,
they appear usually in mutual conflict: they cannot be synthesized coherently,
and this is interpreted as the impossibility to construct a common entity which
could be called time. This contrasts with the case in Newtonian physics where
such a synthesis precisely constitutes Newtonian time. After an illustration by
comparing the status of time in Einsteinian physics with that of the vertical
direction in Newtonian physics, I will conclude that there is no pertinent
notion of time in Einsteinian theories.
