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On Kaluza-Klein relativity

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Abstract

Starting with the hypothesis that space-time is locally embedded in a (4+n)-dimensiorial flat spaceM 4+n, a geometric Kaluza-Klein theory is derived withSO(10) gauge symmetry and an additional spin-2 field represented by the second fundamental formb ij . This quadratic form imposes a natural boundary on the complementary subspace orthogonal to the space-time, regarded as the internal space. The Gauss-Coddazi-Ricci equations are combined to produce low-energy field equations whereb i enters as a source field. High-energy dynamics are described by a continuum of space-time perturbations inM 4+ n induced byb ij , satisfying Einstein-Yang-Mills equations. The spaceM 4+n is regarded as a particular space representing the ground state of a more general theory yet to be constructed.

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Author notes

  1. M. D. Maia

    Present address: Departmento de Matemática, Universidade de Brasilia, 70910, Brasilia D.F., Brasil

Authors and Affiliations

  1. Department of Physics, FM-15, University of Washington, 98195, Seattle, Washington, USA

    M. D. Maia

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  1. M. D. Maia
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Research supported in part by the CNPq (Brazil).

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Maia, M.D. On Kaluza-Klein relativity. Gen Relat Gravit 18, 695–699 (1986). https://doi.org/10.1007/BF00768633

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  • DOI: https://doi.org/10.1007/BF00768633

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