D=11 cosmologies with teleparallel structure

Understand

The presence of additional compact dimensions in cosmological models is studied in the context of modified teleparallel theories of gravity.

• We focus the analysis on eleven dimensional spacetimes, where the seven dimensional extra dimensions are compactified.
• In particular, and due to the importance that global vector fields play within the conceptual body of teleparallel modified gravity models, we consider the additional dimensions to be products of parallelizable spheres.
• The global vector fields characterizing the different topologies are obtained, as well as the equations of motion associated to them.