  In this work we use gauge/string dualities and a dynamical model that takes
into account dynamical corrections to the metric of the anti de Sitter space
due to a quadratic dilaton field and calculate the masses of even and odd spin
glueball states with $P=C=+1$, and $P=C=-1$, respectively. Then we construct
the corresponding Regge trajectories which are associated with the pomeron for
even states with $P=C=+1$, and with the odderon for odd states with $P=C=-1$.
We compare our results with those coming from experimental data as well as
other models.
