Topics on Kaluza-Klein theory
Year: 1992
Type: article
Abstract: A modern review of Kaluza-Klein theories is presented. We adopt the version where the whole space is a principal fiber bun-dle with the four-dimensional spacetime as base, and as typi-cal fiber a G Lie group. It is a natural generalization of gauge theories which metric is just the Kaluza-Klein metric. For the five dimensional theory we give an invariant formulation of the axisymmetric-stationary case. Some techniques for obtaining ex-act solutions and cosmology in specific dimensions are studied. Finally the method of spontaneus compactification is outlined. In 1919 Th. Kaluza presented to Albert Einstein a new idea for unifing all till that moment known interactions based on the Einstein geometrization theory. It consisted in a generalization of the general relativity theory into a five-dimensional riemannian space interpreting part of the five-dimensional metric as the four-electromagnetic potential. In a letter from Einstein to Kaluza, Einstein expressed his view of Kaluza’s idea with the comment:”Ihr Gedanke gefelt mir zunächst ausserordentlich. ”(I like your idea at
Authors: Tonatiuh Matos, J. A. Nieto
Language: Spanish
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W1627769164