Codimension-2 brane cosmology

Physics

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Scientific paper

We study cosmological purely codimension-2 braneworlds in a 6d Lovelock theory, with topological matching conditions where the extrinsic curvature on the brane has no jump. For an arbitrary smooth regularisation of the defect, we show that the brane equations of motion do not close, as there is energy exchange between the brane and the 6d bulk spacetime. In the limit that the deficit angle of the defect is approximately constant, the system closes and there is no leakage of energy in the bulk. We analyse the modified Friedmann equation and we see that there are certain corrections coming from the non-zero extrinsic curvature on the brane. We establish the presence of geometric self-acceleration and a possible curvature domination wedged in between the period of matter and self-acceleration eras as signatures of codimension-2 cosmology.

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