Kaluza-Klein theory for teleparallel gravity

Abstract

We study teleparallel gravity in the \emph{original} Kaluza-Klein (KK) scenario. Our calculation of the KK reduction of teleparallel gravity indicates that the 5-dimensional torsion scalar ${}^{(5)}T$ generates the non-Brans-Dicke type effective Lagrangian in 4-dimension due to an additional coupling between the derivative of the scalar field and torsion, but the result is equivalent to that in general relativity. We also discuss the cosmological behavior in the FLRW universe based on the effective teleparallel gravity.

8 pages, no figure, Phys. Lett. B737 (2014) 248-250

References in corpus (4)

• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Cosmological perturbations in f(T) gravity
• $f(T)$ models with phantom divide line crossing

Cited by in corpus (6)

• Dynamical features of scalar-torsion theories
• $f(T)$ gravitational baryogenesis
• McVittie solution in f(T) gravity
• Inflation with teleparallelism: Can torsion generate primordial fluctuations without local Lorentz symmetry?
• Three-Dimensional Hairy Black Holes in Teleparallel Gravity
• Proper time and conformal problem in Kaluza-Klein theory