Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-02-22
Phys.Lett.B670:259-265,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
9 pages, 8 figures. Version that matches the one published by PLB
Scientific paper
10.1016/j.physletb.2008.11.019
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, occuring within the Minkowski cosmological phase of the DGP model and mimetizing 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.
García-Salcedo Ricardo
Matos Tonatiuh
Moreno Claudia
Quiros Israel
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