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Abstracts
Diego CiriloLombardo
NonRiemannian generalizations of the BornInfeld model and the meaning of the cosmological term
Theory of gravitation based in an nonRiemannian geometry with dynamical torsion field is geometrically analyzed. To this end, the simplest Lagrangian density is introduced as a measure (reminiscent of a sigma model) and the dynamical equations are derived. Our goal is to rewrite this generalized affine action in a suitable form similar to the standard BornInfeld (BI) Lagrangian. As soon as the functionalaction is rewritten in the BI form, the dynamical equations lead the trace free GRtype equation and the field equations for the torsion respectively: both equations emerge from the model in a sharp contrast with other attempts where additional assumptions were heuristically introduced. In this theoretical context, the Einstein, Newton G and the analog to the absolute bfield into the standard BI theory arise all from the same geometry through geometrical invariant quantities (as from the curvature R). They can be clearly identified and correctly interpreted both: physical and geometrically. Interesting theoretical and physical aspects of the proposed theory are given as clear examples that show the viability of this approach to explain several problems of actual interest. Some of them are the dynamo effect and geometrical origin of term, origin of primordial magnetic fields and the role of the torsion in the actual symmetry of the Standard Model. The relation with gauge theories, conserved currents, and other problems of astrophysical character are discussed with some detail.


Organizer:
Institute of Physics Belgrade
(University of Belgrade)
Belgrade, Serbia
Coorganizers:
Mathematical Institute
(Serbian Academy of Sciences and Arts)
Belgrade, Serbia
and
Faculty of Mathematics
(University of Belgrade)
Belgrade, Serbia
Email: mphys9@ipb.ac.rs
