The consequences of a gravitational stabilization of a two-brane system are studied in the presence of matter and tensions of both branes as well as the cosmological constant in the bulk. An explicit calculation shows that the usual form of the Friedmann equation can be retained in this situation, even though the model is not a realistic one.

PACS numbers: 04.50.+h, 11.25.Wx, 98.80.Jk