Localizing Gravity on a String-Like Defect in Six Dimensions

Abstract

We present a metric solution in six dimensions where gravity is localized on a four-dimensional singular string-like defect. The corrections to four-dimensional gravity from the bulk continuum modes are suppressed by $\mathcal{O}(1/r^3)$. No tuning of the bulk cosmological constant to the brane tension is required in order to cancel the four-dimensional cosmological constant.

Comments: 9 pages, LaTeX ; v2: several equations corrected; v3: minor typos corrected, reference added, version to be published in Phys.Rev.Lett; v4: Eq.(16) modified