Equation of state inference using observations from next-generation gravitational wave detectors

The nature of extremely dense matter within Neutron Stars remains unknown. Using multi-messenger Neutron Star observations, we explore the pressure-density space of Beta-equilibrated, causal, and thermodynamically consistent equations of state using a hierarchical inference scheme, via LWP: Likelihood Weighing Protocol. Informed by multiple, simulated compact binary coalescence events from next generation gravitational-wave observatories, we examine the behavior of the equation of state (EoS) space and assess the speed of sound at intermediate to high densities. We show that multiple compact binary coalescence events at next generation sensitivity will require a generative EoS framework, and assess methods to further explore the EoS space and implications for properties of dense matter.