<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>g</mml:mi></mml:math>-mode oscillations in neutron stars with hyperons

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 containing 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.