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Dirac-Born-Infeld Field Trapped in the Braneworld

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arxiv 0907.0185 v4 pith:IGV6DDT3 submitted 2009-07-01 gr-qc

Ricardo Garcia-Salcedo , Dania Gonzalez , Tame Gonzalez , Claudia Moreno , Israel Quiros This is my paper · ORCID
classification gr-qc
keywords fieldattractorbraneworldparticularpastpotentialsolutionstrapped
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abstract

We apply the dynamical systems tools to study the (linear) cosmic dynamics of a Dirac-Born-Infeld-type field trapped in the braneworld. We focus,exclusively, in Randall-Sundrum and in Dvali-Gabadadze-Porrati brane models. We analyze the existence and stability of asymptotic solutions for the AdS throat and the quadratic potential and a particular choice of the warp factor and of the potential for the DBI field ($f(\phi)=1/V(\phi)$). It is demonstrated, in particular, that in the ultra-relativistic approximation matter-scaling and scalar field-dominated solutions always arise. In the first scenario the empty universe is the past attractor, while in the second model the past attractor is the matter-dominated phase.

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