Teleparallel gravity in five-dimensional theories
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 general relativity (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 four-dimensional spacetime.