Teleparallel Gravity in Five Dimensional Theories

Abstract

We study teleparallel gravity in five-dimensional spacetime with particular discussions on Kaluza-Klein (KK) and braneworld theories. We directly perform the dimensional reduction by differential forms. In the braneworld theory, the teleparallel gravity formalism in the Friedmann-Lemaître-Robertson-Walker cosmology is equivalent to GR due to the same Friedmann equation, whereas in the KK case the reduction of our formulation does not recover the effect as GR of 4-dimensional spacetime.

12 pages, no figure, revised version accepted for publication in CQG

References in corpus (6)

• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• $f(T)$ models with phantom divide line crossing
• Singularity Problem in Teleparallel Dark Energy Models
• Exclusive radiative B-meson decays within minimal flavour violating 2HDMs
• Brans-Dicke theory of gravity with torsion: A possible solution of the $\omega$-problem

Cited by in corpus (5)

• Kaluza-Klein theory for teleparallel gravity
• Inflation with teleparallelism: Can torsion generate primordial fluctuations without local Lorentz symmetry?
• Generalized Jackiw-Teitelboim gravity in presence of Bloch brane-like models
• Linear Perturbations and Stability Analysis in $f(T)$ Braneworld Scenario
• Global portraits of nonminimal teleparallel inflation