Abstract. In this review the basic properties of nonrotating and slowly rotating protoneutron stars in the relativistic mean-field approach are discussed. The equation of state is the main input to the structure equations. The TM1 parameter set extended to the case of finite temperature is used to obtain the mass-radius relation for protoneutron stars. The occurrence of unstable areas in the mass-radius relation are presented. This allows for the existence of distinctively different evolutionary of tracks of the protoneutron stars. The low density protoneutron star configurations are estimated. The obtained stable configurations for the fixed lepton number Y L = 0.4 are compared with ones obtained for the fixed proton fraction Y P = 0.1776.

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