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In this paper the dynamic compactification in Lovelock gravity with a cubicterm is studied. The ansatz will be of space-time where the three dimensionalspace and the extra dimensions are constant curvature manifolds withindependent scale factors. The numerical analysis shows that there exist aphenomenologically realistic compactification regime where the threedimensional hubble parameter and the extra dimensional scale factor tend to aconstant. This result comes as surprise as in Einstein-Gauss-Bonnet gravitythis regime exists only when the couplings of the theory are such that thetheory does not admit a maximally symmetric solution (i.e. "geometricfrustration"). In cubic Lovelock gravity however there always exists at leastone maximally symmetric solution which makes it fundamentally different fromthe Einstein-Gauss-Bonnet case. Moreover, in opposition toEinstein-Gauss-Bonnet Gravity, it is also found that for some values of thecouplings and initial conditions these compactification regimes can coexistwith isotropizing solutions.

Dynamic compactification with stabilized extra dimensions in cubic Lovelock gravity