Constraining the nuclear equation of state with multiple observational channels

In the next few years, both gravitational wave observations and X-ray timing observations will provide complementary ways to measure the nuclear equation of state. Projecting forward to the future based on plausible astrophysical populations and measurement opportunities available in the next few years, we show that multi-messenger and multi-object observations will allow us to constrain the nuclear equation of state to O(30\%) just above the nuclear saturation density.