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We generalize the mechanism proposed in hep-th/0005016 and show that a-dimensional relativistic tensor theory of gravitation can be obtained on a-function brane in flat infinite-volume extra space. In particular, we that the induced Ricci scalar gives rise to Einstein's gravity on a-function type brane if the number of space-time dimensions is bigger than. The bulk space exhibits the phenomenon of infrared transparency. That is say, the bulk can be probed by gravitons with vanishing four-dimensional square, while it is unaccessible to higher modes. This provides an framework for solving the cosmological constant problem.
Dvali et al. (Mon,) studied this question.