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In this paper, we have considered closed string tachyon model with a constantdilaton field and interacted it with Chaplygin gas for evaluating cosmologyparameters. The model has been studied in $26$-dimensional that its$22$-dimensional is related to compactification on an internal non-flat spaceand its other $4$-dimensions is related to FLRW metric. By taking the internalcurvature as a negative constant, we obtained the closed string tachyonpotential as a quartic equation. The tachyon field and the scale factor havebeen achieved as functional of time evolution and geometry of curved spacewhere the behaviour of the scale factor describes an accelerated expansion ofthe universe. Next, we discussed the stability of our model by introducing asound speed factor, which one must be, in our case, a positive function. Bydrawing sound speed against time evolution we investigated stability conditionsfor non-flat universe in its three stages: early, late and future time. As aresult we shall see that in these cases remains an instability at early timeand a stability point at late time.

Interacting closed string tachyon with modified Chaplygin gas and its stability