Using a two-dimensional coarse-grained chain model, planar slits in multilayer graphite crystals are simulated. It is shown that when covering a linear cavity on the flat surface of a graphite crystal with a multilayer graphene sheet, an open (unfilled slit) can form only if the cavity width does not exceed a critical value L_o (for width L>L_o, only a closed state of the slit is formed, with the cavity space filled by the covering sheet). The critical width of the open slit L_o increases monotonically with the number of layers K in the covering sheet. For a single-layer cavity, there is a finite critical value of its width L_o<3 nm, while for two- and three-layer cavities, the maximum width of the open slit increases infinitely with increasing K as a power function K^α with exponent 0<α<1. Inside the crystal, two- and three-layer slits can have stable open states at any width. For a slit with width L>7.6 nm, a stationary closed state is also possible, in which its lower and upper surfaces adhere to each other. Simulation of thermal oscillations showed that open states of two-layer slits with width L<15 nm are always stable against thermal oscillations, while wider slits at T>400 K transition from the open to the closed state. Open states of three-layer slits are always stable against thermal oscillations. Keywords: graphene, graphite, flat slits, molecular dynamics, coarse-grained model.

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