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An equivalence between Born-Infeld and effective real scalar field theoriesfor brane structures is built in some specific warped space-time scenarios.Once the equations of motion for tachyon fields related to the Born-Infeldaction are written as first-order equations, a simple analytical connectionwith a particular class of real scalar field superpotentials can be found. Thisequivalence leads to the conclusion that, for a certain class ofsuperpotentials, both systems can support identical thick brane solutions aswell as brane structures described through localized energy densities,$T_{00}(y)$, in the $5^{th}$ dimension, $y$. Our results indicate that thickbrane solutions realized by the Born-Infeld cosmology can be connected to realscalar field brane scenarios which can be used to effectively map the tachyoncondensation mechanism.

Equivalence between Born-Infeld tachyon and effective real scalar field theories for brane structures in warped geometry