Brane cosmology with curvature corrections

Abstract

We study the cosmology of the Randall-Sundrum brane-world where the Einstein-Hilbert action is modified by curvature correction terms: a four-dimensional scalar curvature from induced gravity on the brane, and a five-dimensional Gauss-Bonnet curvature term. The combined effect of these curvature corrections to the action removes the infinite-density big bang singularity, although the curvature can still diverge for some parameter values. A radiation brane undergoes accelerated expansion near the minimal scale factor, for a range of parameters. This acceleration is driven by the geometric effects, without an inflaton field or negative pressures. At late times, conventional cosmology is recovered.

arXiv commentRevTex4, 8 pages, no figures, minor changes

References in corpus (54)

• An Alternative to Compactification
• 4D Gravity on a Brane in 5D Minkowski Space
• The Einstein Equations on the 3-Brane World
• Accelerated Universe from Gravity Leaking to Extra Dimensions
• Gauss-Bonnet Black Holes in AdS Spaces
• Brane cosmological evolution in a bulk with cosmological constant
• Cosmology on a Brane in Minkowski Bulk
• Strong Interactions and Stability in the DGP Model
• Cosmological Expansion in the Presence of an Extra Dimension
• Cosmology of One Extra Dimension with Localized Gravity
• Gravity on a Brane in Infinite-Volume Extra Space
• Chaotic inflation on the brane
• Generalised Israel Junction Conditions for a Gauss-Bonnet Brane World
• Black Hole Scan
• General Gauss-Bonnet brane cosmology
• The Accelerated Universe and the Moon
• Cosmological and black hole brane-world Universes in higher derivative gravity
• Gravitational Leakage into Extra Dimensions: Probing Dark Energy Using Local Gravity
• Supernovae, CMB, and Gravitational Leakage into Extra Dimensions
• Brane versus shell cosmologies in Einstein and Einstein-Gauss-Bonnet theories
• String-Inspired Higher-Curvature Terms and the Randall-Sundrum Scenario
• Effective Gravitational Equations on Brane World with Induced Gravity
• Brane Cosmologies without Orbifolds
• Israel conditions for the Gauss-Bonnet theory and the Friedmann equation on the brane universe
• Brane-World Cosmology in Higher Derivative Gravity or Warped Compactification in the Next-to-leading Order of AdS/CFT Correspondence
• Inflation in Gauss-Bonnet Brane Cosmology
• Consistency of Higher Derivative Gravity in the Brane Background
• Braneworld Cosmology in (Anti)--de Sitter Einstein--Gauss--Bonnet--Maxwell Gravity
• Various Modified Solutions of the Randall-Sundrum Model with the Gauss-Bonnet Interaction
• Black Hole Solutions in Braneworlds with Induced Gravity
• No ghost state of Gauss-Bonnet interaction in warped backgrounds
• Avoidance of Naked Singularities in Dilatonic Brane World Scenarios with a Gauss-Bonnet Term
• Braneworld holography in Gauss-Bonnet gravity
• Induced brane gravity: realizations and limitations
• Induced Gravity on RS Branes
• String inspired braneworld cosmology
• Naked Singularity and Gauss-Bonnet Term in Brane World Scenarios
• General Brane Dynamics with R_{4} term in the Bulk
• Strong coupling in brane-induced gravity in five dimensions
• New Vistas in Braneworld Cosmology
• Domain walls without cosmological constant in higher order gravity
• Brane World Cosmology with Gauss-Bonnet Interaction
• Completely localized gravity with higher curvature terms
• Spherically Symmetric Braneworld Solutions with R_{4} term in the Bulk
• Brane localization of gravity in higher derivative theory
• Nature of singularities in anisotropic string cosmology
• Role of the brane curvature scalar in the brane world cosmology
• Newton's law on an Einstein "Gauss-Bonnet" brane
• On Brane-World Cosmology
• On the thin-shell limit of branes in the presence of Gauss-Bonnet interactions
• Can We Live on the Brane in Schwarzschild-anti de Sitter Black Hole?
• Supernova Constraints on Braneworld Dark Energy
• The Nature of Singularity in Bianchi I Cosmological String Gravity Model with Second Order Curvature Corrections
• (Super)-Gravities Beyond 4 Dimensions

Cited by in corpus (90)

• Modified Gravity and Cosmology
• Brane-World Gravity
• Sudden Future Singularities
• Quantum escape of sudden future singularity
• Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
• More General Sudden Singularities
• Crossing w=-1 in Gauss-Bonnet Brane World with Induced Gravity
• New Isotropic and Anisotropic Sudden Singularities
• Restoring Holographic Dark Energy in Brane Cosmology
• Holographic Dark Energy in Braneworld Models with a Gauss-Bonnet Term in the Bulk. Interacting Behavior and the w =-1 Crossing
• On Gauss-Bonnet black hole entropy
• Generalized second law of thermodynamics in Gauss-Bonnet braneworld
• Charged Black Hole Solutions in Gauss-Bonnet-Massive Gravity
• Covariant Gravitational Equations on Brane World with Gauss-Bonnet term
• f(R)-Brane
• Late acceleration and $w=-1$ crossing in induced gravity
• Finite action principle for Chern-Simons AdS gravity
• Palatini versus metric formulation in higher curvature gravity
• Vacuum energy in Einstein-Gauss-Bonnet AdS gravity
• Causal Structures in Gauss-Bonnet gravity
• D-branes in Standard Model building, Gravity and Cosmology
• The Throat as a Randall-Sundrum Model with Goldberger-Wise Stabilization
• Mimicking Lambda with a spin-two ghost condensate
• Cosmic acceleration from asymmetric branes
• A late-accelerating universe with no dark energy - and a finite-temperature big bang
• The cosmology of an holographic induced gravity model with curvature effects
• Scalar brane backgrounds in higher order curvature gravity
• Collider Signals of Gravitational Fixed Points
• UV stable, Lorentz-violating dark energy with transient phantom era
• Off-the-Wall Higgs in the Universal Randall-Sundrum Model
• Mirage effects on the brane
• Black hole solutions in Gauss-Bonnet-massive gravity in the presence of power-Maxwell field
• Appeasing the Phantom Menace?
• Brane-bulk matter relation for a purely conical codimension-2 brane world
• Five-dimensional black strings in Einstein-Gauss-Bonnet gravity
• String inspired explanation for the super-acceleration of our universe
• Gauss-Bonnet gravity renders negative tension braneworlds unstable
• The holographic induced gravity model with a Ricci dark energy: smoothing the little rip and big rip through Gauss-Bonnet effects?
• Friedmann equations in braneworld scenarios from emergence of cosmic space
• Dynamical compactification in Einstein-Gauss-Bonnet gravity from geometric frustration
• Chaotic Inflation on the Brane with Induced Gravity
• Brane Cosmology with Matter in the Bulk. I
• Gravitational collapse in braneworld models with curvature corrections
• Phantom-like behaviour in a brane-world model with curvature effects
• Gauss-Bonnet gravity, brane world models, and non-minimal coupling
• Tradeoff between Smoother and Sooner "Little Rip"
• The transition of equation of state of effective dark energy in the DGP model with bulk contents
• Gauss-Bonnet Cosmology with Induced Gravity and Non-Minimally Coupled Scalar Field on the Brane
• Modified brane cosmologies with induced gravity, arbitrary matter content and a Gauss-Bonnet term in the bulk
• Crossing the phantom divide in brane cosmology with curvature corrections and brane-bulk energy transfer
• Cosmological Evolution of a Purely Conical Codimension-2 Brane World
• Dirac Relaxation of the Israel Junction Conditions: Unified Randall-Sundrum Brane Theory
• New features of flat (4+1)-dimensional cosmological model with a perfect fluid in Gauss-Bonnet gravity
• A Note on the Viability of Gauss-Bonnet Cosmology
• Modified GBIG Scenario as an Alternative for Dark Energy
• Brane Universes with Gauss-Bonnet-Induced-Gravity
• k-essence in the DGP brane-world cosmology
• Gauss-Bonnet brane gravity with a confining potential
• Open inflationary universes in a brane world cosmology
• Observational constrains on the DGP brane-world model with a Gauss-Bonnet term in the bulk
• Efficient electroweak baryogenesis by black holes
• Cosmological equations and Thermodynamics on Apparent Horizon in Thick Braneworld
• Gauss-Bonnet braneworld redux: A novel scenario for the bouncing universe
• Scalar perturbations from brane-world inflation with curvature effects
• Multi-fluid cosmology in Einstein gravity: analytical solutions
• Tensor Perturbations from Brane-World Inflation with Curvature Effects
• Curvaton Dynamics in Brane-worlds
• Induced Curvature in Brane Worlds by Surface Terms in String Effective Actions with Higher-Curvature Corrections
• Observational constraints on Chaplygin cosmology in a braneworld scenario with induced gravity and curvature effect
• Cosmology in Six Dimensions
• Thermodynamical analysis on a braneworld scenario with curvature corrections
• Graviton emission from a Gauss-Bonnet brane
• An interacting holographic dark energy model within an induced gravity brane
• Phantom dark energy with tachyonic instability: metric perturbations
• Sudden Future Singularities in Quintessence and Scalar-Tensor Quintessence Models
• Gauss-Bonnet brane-world cosmology without $Z_2$-symmetry
• Anisotropic Extra Dimensions
• Exploring the cosmic censorship conjecture with a Gauss-Bonnet sector
• Energy-dependent topological anti-de Sitter black holes in Gauss-Bonnet Born-Infeld gravity
• Cosmological analogies, Lagrangians, and symmetries for convective-radiative heat transfer
• Gauss Bonnet dark energy Chaplygin Gas Model
• New Results For Cuscuton Multi-Field Brane
• Thick brane models in generalized mimetic gravity
• Unified Brane Gravity: Cosmological Dark Matter from Scale Dependent Newton Constant
• Ghosts in the self-accelerating DGP branch with Gauss-Bonnet effect
• The nature of cosmological singularities in isotropic universes and braneworlds
• Self-gravitating branes again
• Brane Cosmology from Heterotic String Theory
• Role of Gauss-Bonnet corrections in a DGP brane gravitational collapse
• Conical singularities regularized in warped six-dimensional flux compactification and their induced brane cosmology