Dynamics of a Self-interacting Scalar Field Trapped in the Braneworld for a Wide Variety of Self-interaction Potentials
arXiv:0909.0281 · doi:10.1103/PhysRevD.80.044026
Abstract
We apply the dynamical systems tools to study the linear dynamics of a self-interacting scalar field trapped in the braneworld, for a wide variety of self-interaction potentials. We focus on Randall-Sundrum (RS) and on Dvali-Gabadadze-Porrati (DGP) braneworld models exclusively. These models are complementary to each other: while the RS brane produces ultra-violet (UV) corrections to general relativity, the DGP braneworld modifies Einstein's theory at large scales, i. e., produces infra-red (IR) modifications of general relativity. This study of the asymptotic properties of both braneworld models, shows -- in the phase space -- the way the dynamics of a scalar field trapped in the brane departs from standard general relativity behaviour.
12 pages, 5 figures and 5 tables
References in corpus (12)
- More on ghosts in DGP model
- DGP Specteroscopy
- Constructing stabilized brane world models in five-dimensional Brans-Dicke theory
- Ghosts in the self-accelerating universe
- Observational constraints on phantom-like braneworld cosmologies
- A New Perspective on DGP Gravity
- Exact Analysis of Scaling and Dominant Attractors Beyond the Exponential Potential
- A New Approach to Quintessence and a Solution of Multiple Attractors
- Unexorcized ghost in DGP brane world
- Self-interacting Scalar Field Trapped in a Randall-Sundrum Braneworld: The Dynamical Systems Perspective
- A short review of "DGP Specteroscopy"
- Self accelerating solutions in a DGP brane with a scalar field trapped on it: the dynamical systems perspective
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