Alex E. Bernardini, O. Bertolami
An equivalence between Born-Infeld and effective real scalar field theories for brane structures is built in a warped space-time scenario. Once the equations of motion for tachyon fields related to the Born-Infeld action can be written as first-order equations, a simple analytical connection with real scalar field superpotentials can be found. This equivalence leads to the conclusion that both systems can support identical thick brane solutions as well as brane structures described through localized energy densities, $T_{00}(y)$, in the $5^{th}$ dimension, $y$. Our results indicate that thick brane solutions realized by the Born-Infeld cosmology can be connected to real scalar field brane scenarios which can be used to effectively map the tachyon condensation mechanism.
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http://arxiv.org/abs/1304.4138
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