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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.
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Gogberashvili et al. (2004) studied this question.
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