Brane in 6D with an increasing gravitational trapping potential

A new solution to the Einstein equations in 1+5 spacetime with an embedded 1+3 brane is given. This solution localizes the zero modes of all kinds of matter fields and four-gravity on the (1+3) brane by an increasing, transverse gravitational potential. This localization occurs despite the fact that the gravitational potential is not a decreasing exponential, and asymptotically approaches a finite value rather than zero.