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We discuss D-braneworld cosmology; that is, the brane is described by the Born-Infeld action. Compared with the usual Randall-Sundrum braneworld cosmology where the brane action is the Nambu-Goto one, we can see some drastic changes in the very early universe: (i) the universe may experience a rapidly accelerating phase; (ii) the closed universe may avoid the initial singularity. We also briefly address the dynamics of the cosmology in the open string metric, which might be more favored than the induced metric from the viewpoint of the D-brane.
Shiromizu et al. (Thu,) studied this question.