Kaluza-Klein braneworld cosmology with static internal dimensions

Understand

We investigate the Kaluza-Klein braneworld cosmology from the point of view of observers on the brane.

• We first generalize the Shiromizu-Maeda-Sasaki (SMS) equations to higher dimensions.
• As an application, we study a (4+n)-dimensional brane with n dimensions compactified on the brane, in a (5+n)-dimensional bulk.
• By assuming that the size of the internal space is static, that the bulk energy-momentum tensor can be neglected, we determine the effect of the bulk geometry on the Kaluza-Klein braneworld.