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Self-interacting scalar field trapped in a DGP brane: The dynamical systems perspective

2008/02/29 by Israel Quirós, Israel Quiros, Ricardo García‐Salcedo +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Solar and Space Plasma Dynamics #gr-qc #hep-ph

paper · pdf · doi:10.1016/j.physletb.2008.11.019

published as Phys.Lett.B670:259-265,2009 · 9 pages, 8 figures. Version that matches the one published by PLB

openalex publication_date 2008/11/13 · arxiv created 2008/12/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/31

Abstract

We apply the dynamical systems tools to study the linear dynamics of a self-interacting scalar field trapped on a DGP brane. The simplest kinds of self-interaction potentials are investigated: (a) constant potential, and (b) exponential potential. It is shown that the dynamics of DGP models can be very rich and complex. One of the most interesting results of this study shows that dynamical screening of the scalar field self-interaction potential, occurring within the Minkowski cosmological phase of the DGP model and that mimics 4D phantom behaviour, is an attractor solution for a constant self-interaction potential but not for the exponential one. In the latter case gravitational screening is not even a critical point of the corresponding autonomous system of ordinary differential equations.

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