Equations of state of dense matter for neutron-star modelling and inference

The equation of state (EoS) is a needed input for neutron-star (NS) modelling allowing one to connect microphysics inputs with global NS properties. In this contribution, we briefly present the EoS modelling for NSs, particularly focusing on a meta-model-based approach, and discuss the importance of a consistent and unified approach. We show that employing a fixed but inconsistent model for the lower density region causes (small) errors and underestimates the uncertainties in the estimation of global NS properties. This confirms our previous findings and underlines the relevance of a consistent approach in NS modelling and inference.