A positive cosmological constant as a geometrical artifact
Abstract
We revisit the classical mechanism to produce d-dimensional spacetimes via Kaluza-Klein compactification. We made the assumption that the (d+1) -dimensional bulk geometry M admits a Homothetic Vector Field (HVF) H relaxing the existence of a zero i.e. H≠ 0 holds on M and the homothetic bivector Fab(H)=0. Under these circumstances we identify the origin of a positive cosmological constant in the d-dimensional spacetime as the homothetic factor representing a geometrical artifact of late time state of the ( d+1) -dimensional bulk spacetime.
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