g-Mode Oscillations in Neutron Stars with Hyperons*

The physics of microscopic interactions at intermediate densities such as in neutron star cores is currently not well constrained. As a result, the types of core matter ranges from purely nucleonic matter, to pure quark matter, to hybrid compositions with possible phase transitions. A potential tool for this composition problem is stellar oscillations and in particular the g-mode oscillation which depends on two sound speeds in matter and thus the composition of the material itself. In our work, we calculate g-mode oscillations in the context of relativistic mean field models for compositions including hyperons and we observe distinct qualitative differences between the oscillation spectra between nucleonic matter and hyperonic matter. The dramatic difference seems to indicate that should we detect g-mode oscillations in neutron stars through gravitational wave detection, we could constrain the type of matter in the core and allow us to determine if hyperonic matter can exist in neutron stars.