Teleparallel Equivalent of the Kaluza-Klein Theory

Abstract

Relying upon the equivalence between a gauge theory for the translation group and general relativity, a teleparallel version of the original Kaluza-Klein theory is developed. In this model, only the internal space (fiber) turns out to be five dimensional, spacetime being kept always four dimensional. A five-dimensional translational gauge theory is obtained which unifies, in the sense of Kaluza-Klein theories, gravitational and electromagnetic interactions.

5 pages, no figures, RevTeX; title and presentation changes, a new paragraph and references added, version to appear in Phys. Rev. D

Cited by in corpus (19)

• Teleparallel Gravity: From Theory to Cosmology
• Effective $F(T)$ gravity from the higher-dimensional Kaluza-Klein and Randall-Sundrum theories
• Hamiltonian structure of the teleparallel formulation of GR
• Thick Brane Split Caused by Spacetime Torsion
• Thick brane in f(T,B) gravity
• Kaluza-Klein theory for teleparallel gravity
• Conservation laws in the teleparallel theory of gravity
• First-order formalism for thick branes in $f(T,\mathcal{T})$ gravity
• The Teleparallel Lagrangian and Hamilton-Jacobi Formalism
• Localization of abelian gauge fields with Stueckelberg-like geometrical coupling on $f(T,B)$-thick brane
• Teleparallel Equivalent of Non-Abelian Kaluza-Klein Theory
• Energy of general 4-dimensional stationary axisymmetric spacetime in the teleparallel geometry
• 5D Elko spinor field non-minimally coupled to nonmetricity in $f(Q)$ gravity
• Geometrically contracted structure in teleparallel $f(T)$ gravity
• Teleparallel Conformal Invariant Models induced by Kaluza-Klein Reduction
• Teleparallel Gravity in Five Dimensional Theories
• String-like brane splitting in the context of $f(T,B)$ gravity
• Conservation laws in the teleparallel theory with a positive cosmological constant
• Symmetric Hyperbolic System in the Self-dual Teleparallel Gravity