Abstract
We investigated the cosmology in a higher-curvature gravity where the dimensionality of spacetime gives rise to only quantitative differences, in contrast to Einstein gravity. We found exponential-type solutions for a flat, isotropic and homogeneous vacuum universe for the case in which the higher-curvature term in the Lagrangian density is quadratic in the scalar curvature, ξR2. The solutions are classified according to the sign of the cosmological constant, Λ, and the magnitude of Λξ. For these solutions the three-dimensional space has a specific feature in that the solutions are independent of the higher-curvature term. For the universe filled with perfect fluid, numerical solutions are investigated for various values of the parameter ξ. Evolutions of universes in different dimensionality of spacetime are compared.
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