Weakly Warped Extra Dimensions and SN1987A

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The neutrino pulse from SN1987A provides one of the most rigourous constraints on models of extra dimensions. Previously, calculations have been done to bound the size of these extra dimensions in the case when the metric was factorizable. Here we consider the case of 2 `weakly warped' extra dimensions. We find that even though weak warping seems only to affect the zero mode this can have a measurable effect on the supernovae bounds. In any braneworld model such warping is necessarily present and as such should be taken into account in supernovae bounds and in searches for corrections to Newtonian gravity.