In D=11 f(T) teleparallel gravity, among compactifications built from parallelizable spheres, only the S7 internal space admits a vacuum de Sitter inflation phase with static extra dimensions.
It is natural, then, that the vielbein grid so determined is sensitive to local boosts and rotations Λ ab(x) acting on it according to eµ a → eµ b = Λ ba eµ a
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D=11 cosmologies with teleparallel structure
In D=11 f(T) teleparallel gravity, among compactifications built from parallelizable spheres, only the S7 internal space admits a vacuum de Sitter inflation phase with static extra dimensions.