Compact extra dimensions in cosmologies with f(T) structure

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.

11 pages, one figure (added). Typos corrected, manuscript improved. Additional material is contained in section IV. Accepted for publication in Physical Review D

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• Teleparallel Equivalent of Lovelock Gravity
• First Order Formalism for Thick Branes in Modified Teleparallel Gravity
• Domain wall brane in a reduced Born-Infeld-$f(T)$ theory
• McVittie solution in f(T) gravity
• Braneworld in $f(T)$ Gravity Theory with Noncanonical Scalar Matter Field
• The regular black hole in four dimensional Born-Infeld gravity
• Gravitational resonances on $f(R)$-brane
• Teleparallel Equivalent of Lovelock Gravity, Generalizations and Cosmological Applications
• Primordial brusque bounce in Born-Infeld determinantal gravity
• BTZ gems inside regular Born-Infeld black holes
• Thick brane in Rastall gravity
• Thick string-like braneworlds in f(T) gravity
• Three-Dimensional Hairy Black Holes in Teleparallel Gravity
• Teleparallel Conformal Invariant Models induced by Kaluza-Klein Reduction
• Teleparallel Gravity in Five Dimensional Theories
• Brane cosmology in teleparallel and $f(T)$ gravity
• $\Lambda$CDM cosmology with a quiescent anisotropy in a higher dimensional steady state universe
• D=11 cosmologies with teleparallel structure