TY - JOUR
T1 - Self-interacting scalar field trapped in a DGP brane
T2 - The dynamical systems perspective
AU - Quiros, Israel
AU - García-Salcedo, Ricardo
AU - Matos, Tonatiuh
AU - Moreno, Claudia
N1 - Funding Information:
The authors want to acknowledge very useful comments by Ruth Lazkoz, Genly Leon, Roy Maartens, and Antonio Padilla, on the original version of the present manuscript. This work was partly supported by CONACyT Mexico, under grants 49865-F, 54576-F, 56159-F, 49924-J, and by grant No. I0101/131/07 C-234/07, Instituto Avanzado de Cosmología (IAC) Collaboration. I.Q. acknowledges also the MES of Cuba for partial support of the research.
PY - 2009/1/5
Y1 - 2009/1/5
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=57649176772&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2008.11.019
DO - 10.1016/j.physletb.2008.11.019
M3 - Artículo
SN - 0370-2693
VL - 670
SP - 259
EP - 265
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 4-5
ER -