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.
In order to apply these models to a cosmological setting, we will assu me a perfect fluid with energy density ρ(t) and pressure p(t) as the only matter source in the field equations
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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.