Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 29, Issue 17, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/0264-9381/29/17/175005
Keywords
-
Categories
Funding
- PROMEP
- DAIP
- CONACyT, Mexico [167335]
- MECESUP from ministerio de Educacion de Chile [FSM0806]
- National Basic Science Program (PNCB)
- Territorial CITMA Project, Cuba [1115]
- MES of Cuba
- Departamento de Fisica
- CA de Gravitacion y Fisica Matematica
Ask authors/readers for more resources
In this paper, we investigate, from the perspective of dynamical systems, the evolution of a scalar field with an arbitrary potential trapped in a Randall-Sundrum's braneworld of type II. We consider an homogeneous and isotropic Friedmann-Robertson-Walker brane filled also with a perfect fluid. Center manifold theory is employed to obtain sufficient conditions for the asymptotic stability of the 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 fact that 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 the potential V = V(0)e(-chi phi)+Lambda, we prove that for chi < 0 the de Sitter solution is asymptotically stable. However, for chi > 0, the de Sitter solution is unstable (of saddle type).
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available