International Journal of Theoretical Physics

, Volume 49, Issue 6, pp 1288–1301 | Cite as

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.

Keywords

Unified theories Gravitation Non-Riemmanian geometry 
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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Bogoliubov Laboratory of Theoretical PhysicsJoint Institute for Nuclear ResearchDubnaRussian Federation
  2. 2.Departamento de FisicaUniversidade Federal da ParaibaJoao PessoaBrazil

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