Einstein-Gauss-Bonnet dynamical compactification with constant extra dimensions is unstable in the tensor sector, and the stable flat alternative violates the gravitational wave speed bound.
III A 1, in the case d = 2, the background is never stable
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Gauss-Bonnet dynamical compactification scenarios and their ghosts in the tensor sectors
Einstein-Gauss-Bonnet dynamical compactification with constant extra dimensions is unstable in the tensor sector, and the stable flat alternative violates the gravitational wave speed bound.