Evolution of Cosmological Models in the Brane-world Scenario

Abstract

In this work we consider Randall-Sundrum brane-world type scenarios, in which the spacetime is described by a five-dimensional manifold with matter fields confined in a domain wall or three-brane. We present the results of a systematic analysis, using dynamical systems techniques, of the qualitative behaviour of the Friedmann-Lemaitre-Robertson-Walker and the Bianchi I and V cosmological models in these scenarios. We construct the state spaces for these models and discuss how their structure changes with respect to the general-relativistic case, in particular, what new critical points appear and their nature, the occurrence of bifurcations and the dynamics of anisotropy.

15 pages, Revtex v3.0, 16 postscript files. Minor changes to match the published version

Cited by in corpus (110)

• Brane-World Gravity
• Brane-world gravity
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• Bouncing Braneworlds
• Can the galactic rotation curves be explained in brane world models?
• Cosmology with positive and negative exponential potentials
• The Cosmological Dynamics of Interacting Holographic Dark Energy Model
• Stability of the graviton Bose-Einstein condensate in the brane-world
• Cosmo-dynamics and dark energy with non-linear equation of state: a quadratic model
• Thin accretion disks onto brane world black holes
• Bulk effects in the cosmological dynamics of brane-world scenarios
• The virial theorem and the dynamics of clusters of galaxies in the brane world models
• Vacuum solutions of the gravitational field equations in the brane world model
• Brane-world generalizations of the Einstein static universe
• Dynamics of the anisotropic Kantowsky-Sachs geometries in $R^n$ gravity
• String inspired braneworld cosmology
• Kaluza-Klein anisotropy in the CMB
• Black Strings from Minimal Geometric Deformation in a Variable Tension Brane-World
• Dynamical systems analysis of anisotropic cosmologies in $R^n$-gravity
• Classical tests of general relativity in brane world models
• Friedmann's Equations in All Dimensions and Chebyshev's Theorem
• Exact anisotropic brane cosmologies
• Viscous Bianchi type I universes in brane cosmology
• Anisotropy in Bianchi-type brane cosmologies
• Cosmo-dynamics and dark energy with a quadratic EoS: anisotropic models, large-scale perturbations and cosmological singularities
• Jacobi stability of the vacuum in the static spherically symmetric brane world models
• Dynamics of Brane-World Cosmological Models
• Isotropy and Stability of the Brane
• Galactic dark matter as a bulk effect on the brane
• Null fluid collapse in brane world models
• Kasner-AdS spacetime and anisotropic brane-world cosmology
• No Chaos in Brane-World Cosmology
• The shear dynamics in Bianchi I cosmological model on the brane
• Chaplygin gas dominated anisotropic brane world cosmological models
• Solar system tests of brane world models
• Gravastar under the framework of Braneworld Gravity
• Magnetized Particle Capture Cross Section for Braneworld Black Hole
• Bounce behaviour in Kantowski-Sachs and Bianchi Cosmologies
• Brane-bulk energy exchange : a model with the present universe as a global attractor
• Anisotropic brane gravity with a confining potential
• Rotational Perturbations of Friedmann-Robertson-Walker Type Brane-World Cosmological Models
• Black string corrections in variable tension braneworld scenarios
• Dynamics of radiating braneworlds
• Viscous dissipative effects in isotropic brane cosmology
• Cartan symmetries and global dynamical systems analysis in a higher-order modified teleparallel theory
• Bianchi IX Brane-world Cosmologies
• Braneworld cosmological models with anisotropy
• Compactifying the state space for alternative theories of gravity
• On the thin-shell limit of branes in the presence of Gauss-Bonnet interactions
• Asymptotic behavior of a scalar field with an arbitrary potential trapped on a Randall-Sundrum's braneworld: the effect of a negative dark radiation term on a Bianchi I brane
• Braneworld Dynamics of Inflationary Cosmologies with Exponential Potentials
• Wormhole on the Brane with Ordinary Matter: The Broader View
• Brane universes tested against astronomical data
• Dynamical Systems analysis of an interacting dark energy model in the Brane Scenario
• Are braneworlds born isotropic?
• Brane universes tested by supernovae
• Quark-Hadron Phase Transitions in Brane-World Cosmologies
• Magnetic Brane-worlds
• Simple Dynamics on the Brane
• Cosmological dynamics of brane gravity: A global dynamical system perspective
• Phase space analysis of quintessence fields trapped in a Randall-Sundrum Braneworld: anisotropic Bianchi I brane with a Positive Dark Radiation term
• Inflation and late time acceleration in braneworld cosmological models with varying brane tension
• Brane cosmology with an anisotropic bulk
• Bianchi II Brane-world Cosmologies ($\mathcal{U}\ge 0$)
• Anisotropy and inflation in Bianchi I brane worlds
• Large-scale perturbations on the brane and the isotropy of the cosmological singularity
• Inflationary Cosmologies in an Anisotropic Brane World
• Bifurcation and pattern changing with two real scalar fields
• Exponential Potentials on the Brane
• Isotropic singularity in inhomogeneous brane cosmological models
• Inflating wormholes in the braneworld models
• Rotational Perturbations of High Density Matter in the Brane Cosmology
• Scaling solutions on a brane
• Regular Bulk Solutions in Brane-worlds with Inhomogeneous Dust and Generalized Dark Radiation
• Reheating the Universe in Braneworld Cosmological Models with bulk-brane energy transfer
• Spherically Symmetric Thick Branes Cosmological Evolution
• Singularities on the brane aren't isotropic
• Gravastar under the framework of braneworld gravity II: effect of the Kuchowicz metric function
• Brane-world Singularities
• Plasma Magnetosphere of Rotating Magnetized Neutron Star in the Braneworld
• Bouncing cosmological solutions due to the self-gravitational corrections and their stability
• Electromagnetic Fields of Slowly Rotating Compact Magnetized Stars in Braneworld
• Reformulation and Interpretation of SMS Braneworld
• Braneworld cosmological solutions and their stability
• Inflation in Bianchi models and the cosmic no hair theorem in brane world
• Classic tests of General Relativity described by brane-based spherically symmetric solutions
• Asymptotic states in brane cosmology with a nonlocal anisotropic stress
• Chaotic Inflationary Universe on Brane
• Braneworld Isotropization and Magnetic Fields
• Possible Equilibria of Interacting Dark Energy Models
• Weyl fluid dark matter model tested on the galactic scale by weak gravitational lensing
• New properties of scalar field dynamics in brane isotropic cosmological models
• Interacting dark energy model in the brane scenario: A Dynamical System Analysis
• Dynamical System Analysis of Brane Induced Gravity with Tachyon Field
• General Bianchi IX dynamics in bouncing braneworld cosmology: homoclinic chaos and the BKL conjecture
• Non-singular flat universes in braneworld and Loop Quantum Cosmology
• The Dynamics of Brane-World Cosmological Models
• Does Cosmic No-Hair Conjecture in Brane Scenarios follow from General Relativity?
• Dynamics and chaos in the unified scalar field cosmology II. System in a finite box
• Bouncing cosmological solutions and their stability
• Classical Tests of General Relativity: Probing Topologically Charged Black Holes on Brane Worlds in f(R) Bulk
• Brane-world Cosmologies with non-local bulk effects
• Brane-World Black Holes and Energy-Momentum Vector
• The nature of cosmological singularities in isotropic universes and braneworlds
• Dvali-Gabadadze-Porrati Cosmology in Bianchi I brane
• Traversable Lorentzian wormhole on the Shtanov-Sahni braneworld with matter obeying the energy conditions
• Evolution of the density parameter in the anisotropic DGP cosmology
• Power Law Inflation and the Cosmic No Hair Theorem in Brane World
• Quasi-homologous spherically symmetric branes and their symmetry breaking