Phase space analysis of quintessence fields trapped in a Randall-Sundrum braneworld: a refined study
In this paper we investigate, from the dynamical systems perspective, the evolution of an scalar field with arbitrary potential trapped in a Randall-Sundrum's Braneworld of type II. We consider an homogeneous and isotropic Friedmann-Robertson-Walker (FRW) brane filled also with a perfect fluid....
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| creator | Escobar, Dagoberto Fadragas, Carlos R Genly Leon Leyva, Yoelsy |
| description | In this paper we investigate, from the dynamical systems perspective, the evolution of an scalar field with arbitrary potential trapped in a Randall-Sundrum's Braneworld of type II. We consider an homogeneous and isotropic Friedmann-Robertson-Walker (FRW) brane filled also with a perfect fluid. Center Manifold Theory is employed to obtain sufficient conditions for the asymptotic stability of de Sitter solution. We obtain conditions on the potential for the stability of scaling solutions as well for the stability of the scalar-field dominated solution. We prove the there are not late time attractors with 5D-modifications (they are saddle-like). This fact correlates with a transient primordial inflation. In the particular case of a scalar field with potential \(V=V_{0}e^{-\chi\phi}+\Lambda\) we prove that for \(\chi0\) the de Sitter solution is unstable (of saddle type). |
| doi_str_mv | 10.48550/arxiv.1110.1736 |
| format | Article |
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| source | Freely Accessible Journals; arXiv.org |
| subjects | Asymptotic properties Physics - General Relativity and Quantum Cosmology Physics - High Energy Physics - Phenomenology Physics - High Energy Physics - Theory Stability |
| title | Phase space analysis of quintessence fields trapped in a Randall-Sundrum braneworld: a refined study |
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