Kaluza-Klein Formalism of General Spacetimes

Details Kaluza-Klein Formalism of General Spacetimes Kaluza-Klein Formalism of General Spacetimes

2000-03-15

arxiv.org/abs/gr-qc/0003059v1

Phys.Lett. B451 (1999) 296-302

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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Scientific paper

10.1016/S0370-2693(99)00202-6

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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