Born–Infeld strings in brane worlds Original Research Article

We study Born–Infeld strings in a six-dimensional brane world scenario recently suggested by Giovannini, Meyer and Shaposhnikov (GMS). In the limit of the Einstein–Abelian–Higgs model, we classify the solutions found by GMS. Especially, we point out that the warped solutions, which lead to localisation of gravity, are the—by the presence of the cosmological constant—deformed inverted string solutions. Further, we construct the Born–Infeld analogues of the anti-warped solutions and determine the domain of existence of these solutions, while a analytic argument leads us to a “no-go” hypothesis: solutions which localise gravity do not exist in a six-dimensional Einstein–Born–Infeld–Abelian–Higgs (EBIAH) brane world scenario. This latter hypothesis is confirmed by our numerical results.