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A generalized three-form field is an extended version of the canonical three-form field by considering a Lagrangian of the generalized three-form field as a function of the kinetic and the mass terms. In this work, we investigated cosmological models due to this generalized three-form field. It is found that one can use the three-form field to interpret the non-relativistic matter without the caustic problem. Moreover, by analyzing the dynamical system, a viable model of dark energy due to the generalized three-form field can be obtained.

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