Compact extra dimensions in cosmologies with f(T) structure
Franco Fiorini, P.A. Gonzalez, Yerko Vasquez
TL;DR
This paper explores the role of compact extra dimensions in cosmological models within f(T) gravity, analyzing toroidal and spherical topologies across various dimensions to understand their geometric and physical implications.
Contribution
It provides a detailed analysis of compact extra dimensions in f(T) gravity, including explicit solutions for toroidal and spherical topologies in six and seven dimensions.
Findings
Toroidal compactifications analyzed in arbitrary dimensions.
Explicit vielbein fields constructed for spherical topologies.
Insights into the geometry of extra dimensions in f(T) cosmologies.
Abstract
The presence of compact extra dimensions in cosmological scenarios in the context of f(T)-like gravities is discussed. For the case of toroidal compactifications, the analysis is performed in an arbitrary number of extra dimensions. Spherical topologies for the extra dimensions are then carefully studied in six and seven spacetime dimensions, where the proper vielbein fields responsible for the parallelization process are found.
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