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In this study we present a Microcanonical Monte Carlo investigation of onedimensional self-gravitating toy models. We study the effect of hard-corepotentials and compare to those results obtained with softening parameters andalso the effect of the geometry of the models. In order to study the effect ofthe geometry and the borders in the system we introduce a model with thesymmetry of motion in a line instead of a circle, which we denominate as $1/r$model. The hard-core particle potential introduces the effect of the size ofparticles and, consequently, the effect of the density of the system that isredefined in terms of the packing fraction of the system. The latter plays arole similar to the softening parameter $\epsilon$ in the softened particles'case. In the case of low packing fractions both models with hard-core particlesshow a behavior that keeps the intrinsic properties of the three dimensionalgravitational systems such as negative heat capacity. For higher values of thepacking fraction the ring the system behaves as the Hamiltonian Mean Fieldmodel and while for the $1/r$ it is similar to the one-dimensional systems.

Microcanonical Monte Carlo Study of One Dimensional Self-Gravitating Lattice Gas Models