Accelerated Expansion of the Universe in a Higher Dimensional Modified Gravity with Euler-Poincaré Terms

Abstract

A higher dimensional modified gravity theory with an action that includes dimensionally continued Euler-Poincaré forms up to second order in curvatures is considered. The variational field equations are derived. Matter in the universe at large scales is modeled by a fluid satisfying an equation of state with dimensional dichotomy. We study solutions that describe higher dimensional steady state cosmologies with constant volume for which the three dimensional external space is expanding at an accelerated rate while the (compact) internal space is contracting. We showed that the second order Euler-Poincaré term in the constructions of higher dimensional steady state cosmologies could be crucial.

1+19 pages, no figures and tables; matches the version published in Classical and Quantum Gravity

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Cited by in corpus (5)

• Phantom fluid supporting traversable wormholes in alternative gravity with extra material terms
• Inflation and Acceleration of the Universe by Nonlinear Magnetic Monopole Fields
• $\Lambda$CDM cosmology with a quiescent anisotropy in a higher dimensional steady state universe
• Role of internal space correlations in the dynamics of a higher-dimensional Bianchi type-I universe: shear scalar and Hubble parameter perspectives
• Accelerated expansion of the Universe in the Presence of Dark Matter Pressure