Brane solution with an increasing warp factor

We present a new brane solution in the (1+5)-dimensional space–time with an increasing warp factor, which localizes the zero modes of all kinds of matter fields and Newtonian gravity. The interesting features of this solution are: (1) In contrast to the Gogberashvili–Singleton case the effective wave function of the zero mode spinor field confined on the brane is finite at a position of brane; (2) There is exactly one zero mode for each matter field and the gravitational field confined on the brane with a finite probability and infinitely many zero modes (labelled by the angular momentum corresponding to extra space) are located in the bulk at different localization radii.