5-Dimensional Kaluza-Klein Theory with a Source

Abstract

A free test particle in 5-dimensional Kaluza-Klein spacetime will show its electricity in the reduced 4-dimensional spacetime when it moves along the fifth dimension. In the light of this observation, we study the coupling of a 5-dimensional dust field with the Kaluza-Klein gravity. It turns out that the dust field can curve the 5-dimensional spacetime in such a way that it provides exactly the source of the electromagnetic field in the 4-dimensional spacetime after the dimensional reduction.

8 pages, three references added

References in corpus (2)

• The fundamental constants and their variation: observational status and theoretical motivations
• Fifth force from fifth dimension: a comparison between two different approaches

Cited by in corpus (4)

• Five-dimensional PPN formalism and experimental test of Kaluza-Klein theory
• Five-dimensional metric $f(R)$ gravity and the accelerated universe
• Hamiltonian analysis of $n$-dimensional Palatini gravity with matter
• State-Relevant Maxwell's Equation from Kaluza-Klein Theory