We argue that Einstein gravity coupled to a Born-Infeld theory provides an attractive candidate to represent dark matter and dark energy. For cosmological models, the Born-Infeld field has an equation of state which interpolates between matter, $p=0$ (small times), and a cosmological constant p=-ρ (large times). On galactic scales, the Born-Infeld theory predicts asymptotically flat rotation curves.
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Máximo Bañados (2008) studied this question.
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