Braneworld dynamics in Einstein-Gauss-Bonnet gravity

Abstract

We discuss the cosmological evolution of a braneworld in five dimensional Gauss-Bonnet gravity. Our discussion allows the fifth (bulk) dimension to be space-like as well as time-like. The resulting equations of motion have the form of a cubic equation in the (H^2,(ρ+σ)^2) plane, where σis the brane tension and ρis the matter density. This allows us to conduct a comprehensive pictorial analysis of cosmological evolution for the Gauss-Bonnet brane. The many interesting properties of this braneworld include the possibility of accelerated expansion at late times. For a finite region in parameter space the accelerated expansion can be phantom-like so that w < -1. At late times, this branch approaches de Sitter space (w = -1) and avoids the big-rip singularities usually present in phantom models. For a time-like extra dimension the Gauss-Bonnet brane can bounce and avoid the initial singularity.

23 pages, 7 figures; revised version matches the published Erratum. Two figures altered, main results unchanged

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Cited by in corpus (37)

• Modified Gravity and Cosmology
• Holographic Dark Energy in Braneworld Models with a Gauss-Bonnet Term in the Bulk. Interacting Behavior and the w =-1 Crossing
• Charged Black Hole Solutions in Gauss-Bonnet-Massive Gravity
• Causal Structures in Gauss-Bonnet gravity
• Classical tests of general relativity in brane world models
• Thermodynamical Structure of AdS Black Holes in Massive Gravity with Stringy Gauge-Gravity Corrections
• Cyclic Universes from General Collisionless Braneworld Models
• Solar system tests of brane world models
• Black hole solutions in Gauss-Bonnet-massive gravity in the presence of power-Maxwell field
• Cosmological Magnetogenesis From Extra-dimensional Gauss Bonnet Gravity
• Cosmic acceleration and crossing of $\omega =-1$ in non-minimal modified Gauss-Bonnet gravity
• Cosmological Hysteresis and the Cyclic Universe
• Generalized Israel Junction Conditions for a Fourth-Order Brane World
• COSMOS-$e^{\prime }$-GTachyon from String Theory
• Phantom-like behaviour in a brane-world model with curvature effects
• Brane f(R) gravity cosmologies
• Transient Crossing of Phantom divide line $w_{\Lambda }=-1$ under Gauss-Bonnet interaction
• Addendum to "Thin-shell wormholes supported by ordinary matter in Einstein-Gauss-Bonnet gravity"
• Gibbons-Hawking Boundary Terms and Junction Conditions for Higher-Order Brane Gravity Models
• Spectral Methods in General Relativity and Large Randall-Sundrum II Black Holes
• Gauss-Bonnet braneworld redux: A novel scenario for the bouncing universe
• Einstein static universe on the brane supported by extended Chaplygin gas
• Scalar perturbations from brane-world inflation with curvature effects
• Tensor Perturbations from Brane-World Inflation with Curvature Effects
• Neutrino generated dynamical dark energy with no dark energy field
• Arrow of time in dissipationless cosmology
• Hysteresis in the Sky
• Observational constraints on Chaplygin cosmology in a braneworld scenario with induced gravity and curvature effect
• Randall-Sundrum limit of f(R) brane-world models
• Phantom-like effects in asymmetric brane embedding with induced gravity and the Gauss-Bonnet term in the Bulk
• Vacuum thin shells in Einstein-Gauss-Bonnet brane-world cosmology
• Bouncing Braneworld with Born-Infeld and Gauss-Bonnet
• Energy-dependent topological anti-de Sitter black holes in Gauss-Bonnet Born-Infeld gravity
• Non-Singular Bouncing cosmology from Phantom Scalar-Gauss-Bonnet Coupling: Reconstruction with Observational Insights
• Scalar-tensor representation to $f(R,T)-$brane with Gauss-Bonnet gravity
• Tides and energy conditions in Einstein-Gauss-Bonnet thin-shell wormholes
• Cosmic Hysteresis