D=11 cosmologies with teleparallel structure

CHRISTIAN BOEHMER; FRANCO FIORINI; PABLO GONZÁLEZ ; YERKO VÁSQUEZ

PHYSICAL REVIEW D - PARTICLE AND FILDS

APS

Año: 2019 vol. 100

0556-2821

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. Using global dynamical system techniques, we discuss some physical consequences arising because of the existence of the extra dimensions. In particular, the possibility of having an early inflationary epoch driven by the presence of extra dimensions without other matter sources is discussed.