  A common alternative to the standard assumption of nucleonic composition of
matter in the interior of a neutron star is to include strange baryons,
particularly hyperons. Any change in composition of the neutron star core has
an effect on g-mode oscillations of neutron stars, through the compositional
dependence of the equilibrium and adiabatic sound speeds. We study the core
g-modes of a neutron star contaning hyperons, using a variety of relativistic
mean field models of dense matter that satisfy observational constraints on
global properties of neutron stars. Our selected models predict a sharp rise in
the g-mode frequencies upon the onset of strange baryons. Should g-modes be
observed in the near future, their frequency could be used to test the presence
of hyperonic matter in the core of neutron stars.
