A note on differences between (4+1)- and (5+1)-dimensional anisotropic cosmology in the presence of the Gauss-Bonnet term

Abstract

We investigate a flat anisotropic (5+1)-dimensional cosmological model in the presence of the Gauss-Bonnet (GB) contribution in addition to usual Einstein term in the action. We compared it with (4+1)-dimensional case and found a substantial difference in corresponding cosmological dynamics. This difference is manifested in the probability of the model to have smooth transition from GB-term-dominated to Einstein-term-dominated phases--this probability in a reasonable measure on the initial condition space is almost zero for (4+1) case and about 60% for (5+1) case. We discuss this difference as well as some features of the dynamics of the considered model.

9 pages with 3 eps figures; typos corrected, references added; final version to appear in MPLA

References in corpus (15)

• Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
• Friedmann-Robertson-Walker brane cosmological equations from the five-dimensional bulk (A)dS black hole
• Spacetime structure of static solutions in Gauss-Bonnet gravity: neutral case
• Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity
• Black Holes in Pure Lovelock Gravities
• Exact Results for Evaporating Black Holes in Curvature-Squared Lovelock Gravity: Gauss-Bonnet Greybody Factors
• Spacetime structure of static solutions in Gauss-Bonnet gravity: charged case
• Nonsingular Bianchi type I cosmological solutions from 1-loop superstring effective action
• Effects of Lovelock terms on the final fate of gravitational collapse: analysis in dimensionally continued gravity
• Nature of singularities in anisotropic string cosmology
• Asymptotically Flat Radiating Solutions in Third Order Lovelock Gravity
• Hoffmann-Infeld Black Hole Solutions in Lovelock Gravity
• A Note on the Viability of Gauss-Bonnet Cosmology
• Magnetic Branes in Third Order Lovelock-Born-Infeld Gravity
• The Nature of Singularity in Bianchi I Cosmological String Gravity Model with Second Order Curvature Corrections

Cited by in corpus (36)

• On cosmological-type solutions in multi-dimensional model with Gauss-Bonnet term
• General features of Bianchi-I cosmological models in Lovelock gravity
• Exact exponential solutions in Einstein-Gauss-Bonnet flat anisotropic cosmology
• The nature of singularity in multidimensional anisotropic Gauss-Bonnet cosmology with a perfect fluid
• On stability of exponential cosmological solutions with non-static volume factor in the Einstein-Gauss-Bonnet model
• Stability analysis of the exponential solutions in Lovelock cosmologies
• On anisotropic Gauss-Bonnet cosmologies in (n+1) dimensions, governed by an n-dimensional Finslerian 4-metric
• Dynamical compactification in Einstein-Gauss-Bonnet gravity from geometric frustration
• Cosmological dynamics in higher-dimensional Einstein-Gauss-Bonnet gravity
• Non-constant volume exponential solutions in higher-dimensional Lovelock cosmologies
• Friedmann dynamics recovered from compactified Einstein-Gauss-Bonnet cosmology
• New features of flat (4+1)-dimensional cosmological model with a perfect fluid in Gauss-Bonnet gravity
• Cosmological dynamics of spatially flat Einstein-Gauss-Bonnet models in various dimensions: Low-dimensional $\Lambda$-term case
• Constant volume exponential solutions in Einstein-Gauss-Bonnet flat anisotropic cosmology with a perfect fluid
• The dynamics of the flat anisotropic models in the Lovelock gravity. I: The even-dimensional case
• Cosmological dynamics of spatially flat Einstein-Gauss-Bonnet models in various dimensions: High-dimensional $\Lambda$-term case
• Note on properties of exact cosmological solutions in Lovelock gravity
• On stable exponential cosmological solutions in the EGB model with a $\Lambda$-term in dimensions D = 5,6,7,8
• Effects of spatial curvature and anisotropy on the asymptotic regimes in Einstein-Gauss-Bonnet gravity
• On stable exponential solutions in Einstein-Gauss-Bonnet cosmology with zero variation of G
• On exponential cosmological type solutions in the model with Gauss-Bonnet term and variation of gravitational constant
• Cosmological dynamics of spatially flat Einstein-Gauss-Bonnet models in various dimensions. Vacuum case
• Stable exponential cosmological solutions with zero variation of $G$ and three different Hubble-like parameters in the Einstein-Gauss-Bonnet model with a $\Lambda$-term
• Cosmological solutions in Einstein-Gauss-Bonnet gravity with static curved extra dimensions
• Realistic Compactification Models in Einstein-Gauss-Bonnet Gravity
• Splitting into two isotropic subspaces as a result of cosmological evolution in Einstein-Gauss-Bonnet gravity
• Stable exponential cosmological solutions with zero variation of G in the Einstein-Gauss-Bonnet model with a Lambda-term
• Dynamics of the cosmological models with perfect fluid in Einstein-Gauss-Bonnet gravity: low-dimensional case
• Realistic compactification in spatially flat vacuum cosmological models in cubic Lovelock gravity: High-dimensional case
• Stable exponential cosmological solutions with three different Hubble-like parameters in EGB model with a $\Lambda$-term
• Realistic compactification in spatially flat vacuum cosmological models in cubic Lovelock gravity: Low-dimensional case
• Cosmological Models in Lovelock Gravity: An Overview of Recent Progress
• Exact $(1+3+6)$-dimensional cosmological-type solutions in gravitational model with Yang-Mills field, Gauss-Bonnet term and $\Lambda$-term
• Anisotropic Spacetimes in $f(G)$-gravity: Bianchi I, Bianchi III and Kantowski-Sachs Cosmologies
• $f(R,\mathcal{G})$-cosmological dynamics in the FLRW background
• On the Properties of the Power-Law Cosmological Solutions in Lovelock Gravity