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We present a Bayesian analysis to constrain the equation of state of densenucleonic matter by exploiting the available data from symmetric nuclear matterat saturation and from observations of compact X-ray sources and from thegravitational wave event GW170817. For the first time, such analysis isperformed by using a class of models, the relativistic mean field models, whichallow to consistently construct an equation of state in a wide range ofdensities, isospin asymmetries and temperatures. The selected class of modelscontains five nuclear physics empirical parameters at saturation for which weconstruct the joint posterior distributions. By exploring different types ofpriors, we find that the equations of state with the largest evidence are theones featuring a strong reduction of the effective mass of the nucleons indense matter which can be interpreted as an indication of a phase transition toa chiral symmetry restored phase. Those equations of state in turn predict$R_{1.4} \sim 12$ km. Finally, we present a preliminary investigation on theeffect of including $\Lambda$ hyperons showing that they appear in stars moremassive than about $1.6 M_{\odot}$ and lead to radii larger than about $R_{1.4}\sim 14$ km. Within the model here explored, the formation of such particlesprovide a poor agreement with the constraints from GW170817.

Bayesian Inference of Dense Matter Equation of State within Relativistic Mean Field Models using Astrophysical Measurements