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In a ghost-condensate model of dark energy the combined dynamics of thescalar field and gravitation is shown to impose non-trivial restriction on theself-interaction of the scalar field. Using this restriction we show that thechoice of a zero self-interaction leads to a situation too restrictive for thegeneral evolution of the universe. This restriction, obtained in the form of aquadratic equation of the scalar potential, is demonstrated to admit realsolutions. Also, in the appropriate limit it reproduces the potential in thephantom cosmology.

On the self-interaction of dark energy in a ghost-condensate model