  Wormhole configurations in Einstein's general theory of relativity (GR)
require exotic matter sources violating the weak energy condition (WEC).
Rastall's theory is a generalization of GR in its matter source considering a
nonconserved energy-momentum (EM) tensor. Hence, on one hand, the nature of
this generalization of the matter source of field equations and, on the other
hand, the possibility of respecting energy conditions for dynamical wormholes
in contrast to static ones motivates us to study the possibility of the
existence of wormhole configurations respecting energy conditions or minimizing
the violations of them in Rastall's modified theory. We derive general
analytical solutions considering a constant redshift function and a particular
equation of state for energy density and pressure profiles. We show that
because of the modification in the EM source of the field equations, there
exist solutions respecting the WEC in the vicinity of the wormhole's throat for
specified values of the parameters. Some particular solutions are discussed in
detail.
