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Kaluza-Klein Formalism of General Spacetimes

J. H. Yoon
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Abstract

I describe the Kaluza-Klein approach to general relativity of 4-dimensional spacetimes. This approach is based on the (2,2)-fibration of a generic 4-dimensional spacetime, which is viewed as a local product of a (1+1)-dimensional base manifold and a 2-dimensional fibre space. It is shown that the metric coefficients can be decomposed into sets of fields, which transform as a tensor field, gauge fields, and scalar fields with respect to the infinite dimensional group of the diffeomorphisms of the 2-dimensional fibre space. I discuss a few applications of this formalism.

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J. H. Yoon. 2000-03-15. Kaluza-Klein Formalism of General Spacetimes. https://doi.org/10.1016/s0370-2693(99)00202-6

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