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Unified Field Theoretical Models from Generalized Affine Geometries

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Abstract

New model of a non-dualistic Unified Theory is analyzed. This model is based in a manifold equipped with an underlying hypercomplex structure and zero non-metricity, that makes it geometricaly and physically consistent. Wormhole solution from this new model is presented and is explicitly compared with our previous one coming from the Einstein-Non Abelian Born-Infeld theory (in Class. Quantum Gravity 22:4987–5004, 2005). We find that the torsion plays in this unified theory similar role that Yang Mills type strength field coming from the non-Abelian Born-Infeld energy momentum tensor. The meaning of the Yang-Mills ansatz based in the alignment of the isospin with the frame geometry of the spacetime is discussed.

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region, Russian Federation

    Diego Julio Cirilo-Lombardo

  2. Departamento de Fisica, Universidade Federal da Paraiba, Caixa Postal 5008, 58051-970, Joao Pessoa, PB, Brazil

    Diego Julio Cirilo-Lombardo

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  1. Diego Julio Cirilo-Lombardo
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Correspondence to Diego Julio Cirilo-Lombardo.

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Work partially suported by CAPES Brazilian funds.

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Cirilo-Lombardo, D.J. Unified Field Theoretical Models from Generalized Affine Geometries. Int J Theor Phys 49, 1288–1301 (2010). https://doi.org/10.1007/s10773-010-0310-9

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  • DOI: https://doi.org/10.1007/s10773-010-0310-9

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