Note on properties of exact cosmological solutions in Lovelock gravity

Abstract

We study some properties of exact cosmological solutions for a flat multidimensional anisotropic Universe in Lovelock gravity. A particular attention is paid to some features of solution in a general Lovelock gravity which have no their counterparts in analogous solution of General Relativity. We consider exponential solutions and so called generalized Milne solution and discuss reasons for these solution to exist in Lovelock gravity and do not exist in General Relativity.

7 pages, no figures; small changes

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Cited by in corpus (18)

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• Friedmann dynamics recovered from compactified Einstein-Gauss-Bonnet cosmology
• 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
• Effects of spatial curvature and anisotropy on the asymptotic regimes in Einstein-Gauss-Bonnet gravity
• Cosmological dynamics of spatially flat Einstein-Gauss-Bonnet models in various dimensions. Vacuum case
• Cosmological solutions in Einstein-Gauss-Bonnet gravity with static curved extra dimensions
• Realistic Compactification Models in Einstein-Gauss-Bonnet Gravity
• Some aspects of the cosmological dynamics in Einstein-Gauss-Bonnet gravity
• Splitting into two isotropic subspaces as a result of cosmological evolution in Einstein-Gauss-Bonnet gravity
• Field-theoretical construction of currents and superpotentials in Lovelock gravity
• 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
• 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
• Gauss-Bonnet dynamical compactification scenarios and their ghosts in the tensor sectors
• On the Properties of the Power-Law Cosmological Solutions in Lovelock Gravity