Dark energy cosmologies for codimension-two branes

A six-dimensional universe with two branes in the “football-shaped” geometry leads to an almost realistic cosmology. We describe a family of exact solutions with time-dependent characteristic size of internal space. After a short inflationary period the late cosmology is either of quintessence type or turns to a radiation-dominated Friedmann universe where the cosmological constant appears as a free integration constant of the solution. The radiation-dominated universe with relativistic fermions is analyzed in detail, including its dimensional reduction.