On the nature of compact stars determined by gravitational waves, radio-astronomy, x-ray emission and nuclear physics

We investigate the question of the nature of compact stars, considering they may be neutron stars or hybrid stars containing a quark core, within the present constraints given by gravitational waves, radio-astronomy, X-ray emissions from millisecond pulsars and nuclear physics. A Bayesian framework is used to combine together all these constraints and to predict tidal deformabilities and radii for a 1.4~M$_\odot$ compact star. We find that present gravitation wave and radio-astronomy data favors asy-stiff EoS compatible with nuclear physics and that GW170817 waveform is best described for binary hybrid stars. In addition, this data favors stiff quark matter, independently of the nuclear EoS. Combining this result with constraints from X-ray observation supports the existence of canonical $1.4$~M$_\odot$ mass hybrid star, with a radius predicted to be $R_{1.4}=12.02(8)$~km.