Gravitational collapse on the brane: A No-Go theorem

The effect of braneworld gravity on gravitational collapse and black hole formation was investigated. The analysis was performed by studying Oppenheimer-Snyder-like collapse on a Randall-Sundrum-type brane. The role of Kaluza-Klein energy density in collapse was also considered using a toy model. A no-go theorem, which states that the exterior space time cannot be static, was proved.