Dynamical System Analysis of Randall-Sundrum Model with Tachyon Field on the Brane
arXiv:2005.10592 · doi:10.1103/PhysRevD.101.103525
Abstract
In this manuscript we use the dynamical system approach to study the linear dynamics of a Randall-Sundrum braneworld model with a tachyon scalar field confined to the brane. We recognize that the form of the tachyon potential plays a significant role in the evolution of the universe. For the case of an inverse square potential we find that one of our new variables, , is constant. We obtain critical points of the system in this situation and investigate their stability using the linear perturbation method. Then we turn to a Gaussian potential in which is not constant. Using the idea of instantaneous critical points we study the behavior of the universe and its possible fates. One of the interesting results of this manuscript is that our universe will probably experience another phase transition from acceleration to deceleration in the future.
References in corpus (57)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Hierarchy Problem and New Dimensions at a Millimeter
- Dynamics of dark energy
- Cosmological Imprint of an Energy Component with General Equation of State
- A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
- An alternative to quintessence
- Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
- A Model of Holographic Dark Energy
- Essentials of k-essence
- Effective Field Theory, Black Holes, and the Cosmological Constant
- Dark Energy Constraints from the Cosmic Age and Supernova
- Accelerated expansion of the universe driven by tachyonic matter
- Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
- Cosmological Evolution of the Rolling Tachyon
- Cosmology with tachyon field as dark energy
- A New Model of Agegraphic Dark Energy
- A Holographic Dark Energy Model from Ricci Scalar Curvature
- What is needed of a tachyon if it is to be the dark energy?
- Cosmological dynamics of the tachyon with an inverse power-law potential
- Non-minimal coupling of the scalar field and inflation
- Cosmological Constraints on New Agegraphic Dark Energy
- Restoring Holographic Dark Energy in Brane Cosmology
- Tachyon inflation: tests and comparison with single scalar field inflation
- Crossing the phantom divide without phantom matter
- Intermediate inflation in light of the three-year WMAP observations
- Anisotropic Inflation from Charged Scalar Fields
- Critical comments on the paper "Crossing by a single scalar field on a Dvali-Gabadadze-Porrati brane" by H Zhang and Z-H Zhu [Phys.Rev.D75,023510(2007)]
- Crossing by a single scalar on a Dvali-Gabadadze-Porrati brane
- Holographic Dark Energy in Braneworld Models with Moving Branes and the w=-1 Crossing
- Cosmology with decaying tachyon matter
- Generalised Scalar Field Potentials and Inflation
- Some Aspects of Tachyon Field Cosmology
- Stability Analysis in Tachyonic Potential Chameleon cosmology
- The stability of Einstein static universe in the DGP braneworld
- Cosmological evolution of general scalar fields in a brane-world cosmology
- Intermediate inflation on the brane
- Dynamical Systems analysis of an interacting dark energy model in the Brane Scenario
- Scalar Field Dark Matter Spectator During Inflation: The Effect of Self-interaction
- Tachyon Field in Intermediate Inflation on the Brane
- Self-interacting Scalar Field Trapped in a Randall-Sundrum Braneworld: The Dynamical Systems Perspective
- Interacting Holographic dark energy in chameleon tachyon cosmology
- Self accelerating solutions in a DGP brane with a scalar field trapped on it: the dynamical systems perspective
- Brane-cosmology dynamics with induced gravity
- Interacting agegraphic dark energy model in tachyon cosmology coupled to matter
- Stability analysis of the cosmological solutions with induced gravity and scalar field on the brane
- Tachyon with an inverse power-law potential in a braneworld cosmology
- Logamediate Inflation by Tachyon Field
- Cosmological constraints on Agegraphic dark energy in DGP braneworld gravity
- Interacting Agegraphic Dark Energy Model in DGP Braneworld Cosmology: Dynamical System Approach
- The universe dynamics in the tachyon cosmology with non-minimal coupling to matter
- A 5D Holographic Dark Energy in DGP-Brane Cosmology
- Power-law cosmological solution derived from DGP brane with a brane tachyon field
- Dynamical System Analysis of Brane Induced Gravity with Tachyon Field
- Polytropic Inspired Inflation on the Brane