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Teleparallel equivalent of the Kaluza-Klein theory

1999/09/30 by V. C. de Andrade, L. C. T. Guillen, J. G. Pereira · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Equivalence (formal languages) #Gauge theory #General relativity #Gravitation #Introduction to gauge theory #Kaluza–Klein theory #Mathematical physics #Mathematics #Philosophy #Physics #Pure mathematics #Quantum mechanics #Space (punctuation) #Spacetime #Theoretical physics #Unified field theory #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.61.084031

published as Phys.Rev. D61 (2000) 084031 · 5 pages, no figures, RevTeX; title and presentation changes, a new paragraph and references added, version to appear in Phys. Rev. D

arxiv created 2000/02/09 · openalex publication_date 2000/03/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

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