New features of flat (4+1)-dimensional cosmological model with a perfect fluid in Gauss-Bonnet gravity

Abstract

We investigated a flat multidimensional cosmological model in Gauss-Bonnet gravity in presence of a matter in form of perfect fluid. We found analytically new stationary regimes (these results are valid for arbitrary number of spatial dimensions) and studied their stability by means of numerical recipes in 4+1-dimensional case. In the vicinity of the stationary regime we discovered numerically another non-singular regime which appears to be periodical. Finally, we demonstrated that the presence of matter in form of a perfect fluid lifts some constraints on the dynamics of the 4+1-dimensional model which have been found earlier.

14 pages, 5 figures, 1 table; v2 minor corrections, conclusions unchanged

References in corpus (3)

• General features of Bianchi-I cosmological models in Lovelock gravity
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• Cosmological dynamics of spatially flat Einstein-Gauss-Bonnet models in various dimensions: Low-dimensional $\Lambda$-term case
• Cosmological dynamics of spatially flat Einstein-Gauss-Bonnet models in various dimensions: High-dimensional $\Lambda$-term case
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• Note on properties of exact cosmological solutions in Lovelock gravity
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• Realistic Compactification Models in Einstein-Gauss-Bonnet Gravity
• Dynamic compactification with stabilized extra dimensions in cubic Lovelock gravity
• Dynamics of the cosmological models with perfect fluid in Einstein-Gauss-Bonnet gravity: low-dimensional case
• Anisotropic cosmological dynamics in Einstein-Gauss-Bonnet gravity: an example of dynamical compactification in 7+1 dimensions
• Realistic compactification in spatially flat vacuum cosmological models in cubic Lovelock gravity: High-dimensional case
• Realistic compactification in spatially flat vacuum cosmological models in cubic Lovelock gravity: Low-dimensional case
• On stability of power-law solution in multidimensional Gauss-Bonnet cosmology
• Spontaneous symmetry breaking as a result of extra dimensions compactification
• Cosmological Models in Lovelock Gravity: An Overview of Recent Progress
• On the Properties of the Power-Law Cosmological Solutions in Lovelock Gravity
• Anisotropic exponential cosmological solutions in 4th and 5th orders of Lovelock gravity