Stationary vs. singular points in an accelerating FRW cosmology derived from six-dimensional Einstein-Gauss-Bonnet gravity

Abstract

Six-dimensional Einstein-Gauss-Bonnet gravity (with a linear Gauss-Bonnet term) is investigated. This theory is inspired by basic features of results coming from string and M-theory. Dynamical compactification is carried out and it is seen that a four-dimensional accelerating FRW universe is recovered, when the two-dimensional internal space radius shrinks. A non-perturbative structure of the corresponding theory is identified which has either three or one stable fixed points, depending on the Gauss-Bonnet coupling being positive or negative. A much richer structure than in the case of the perturbative regime of the dynamical compactification recently studied by Andrew, Bolen, and Middleton is exhibited.

9 pages, 20 figures, accepted in PLB

References in corpus (20)

• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Properties of singularities in (phantom) dark energy universe
• Quantum deSitter cosmology and phantom matter
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Gauss-Bonnet dark energy
• Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
• Dark Energy: Vacuum Fluctuations, the Effective Phantom Phase, and Holography
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Observational constraints on dark energy with generalized equations of state
• Dark Energy: the equation of state description versus scalar-tensor or modified gravity
• The fate of (phantom) dark energy universe with string curvature corrections
• The oscillating dark energy: future singularity and coincidence problem
• String-inspired cosmology: Late time transition from scaling matter era to dark energy universe caused by a Gauss-Bonnet coupling
• Impact of three years of data from the Wilkinson Microwave Anisotropy Probe on cosmological models with dynamical dark energy
• Supergravity Minimal Inflation and its Spectral Index Revisited
• Effects of Dynamical Compactification on D-Dimensional Gauss-Bonnet FRW Cosmology
• The renormalization group and spontaneous compactification of a higher-dimensional scalar field theory in curved spacetime

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• Cosmological Models in Lovelock Gravity: An Overview of Recent Progress
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