# D=11 cosmologies with teleparallel structure

## TL;DR

This paper explores eleven-dimensional cosmological models within modified teleparallel gravity, focusing on compactified extra dimensions modeled as parallelizable spheres, and investigates their potential to drive early inflation without matter.

## Contribution

It introduces a novel analysis of eleven-dimensional teleparallel cosmologies with specific compactification topologies and examines their implications for early universe inflation.

## Key findings

- Extra dimensions can induce inflationary epochs without matter.
- Global vector fields are characterized for different topologies.
- Dynamical systems analysis reveals physical consequences of extra dimensions.

## Abstract

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.