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Abstract:

Theory of gravitation based on a non-Riemannian 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 Born-Infeld (BI) Lagrangian. As soon as the functional action is rewritten in the BI form, the dynamical equations lead the trace-free GR-type 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 κ, Newton G and the analog to the absolute b-field into the standard BI theory all arise 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 α 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 is discussed with some detail. © 2017 World Scientific Publishing Company.

Registro:

Documento: Artículo
Título:Non-Riemannian generalizations of the Born-Infeld model and the meaning of the cosmological term
Autor:Cirilo-Lombardo, D.J.
Filiación:Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET), Universidad de Buenos Aires, National Institute of Plasma Physics (INFIP), Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Buenos Aires, 1428, Argentina
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 141980, Russian Federation
Palabras clave:Anomalous MHD; Born-Infeld; fundamental constants; magnetogenesis; Non-Riemannian geometry
Año:2017
Volumen:14
Número:7
DOI: http://dx.doi.org/10.1142/S0219887817501080
Título revista:International Journal of Geometric Methods in Modern Physics
Título revista abreviado:Int. J. Geom. Methods Mod. Phys.
ISSN:02198878
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02198878_v14_n7_p_CiriloLombardo

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Citas:

---------- APA ----------
(2017) . Non-Riemannian generalizations of the Born-Infeld model and the meaning of the cosmological term. International Journal of Geometric Methods in Modern Physics, 14(7).
http://dx.doi.org/10.1142/S0219887817501080
---------- CHICAGO ----------
Cirilo-Lombardo, D.J. "Non-Riemannian generalizations of the Born-Infeld model and the meaning of the cosmological term" . International Journal of Geometric Methods in Modern Physics 14, no. 7 (2017).
http://dx.doi.org/10.1142/S0219887817501080
---------- MLA ----------
Cirilo-Lombardo, D.J. "Non-Riemannian generalizations of the Born-Infeld model and the meaning of the cosmological term" . International Journal of Geometric Methods in Modern Physics, vol. 14, no. 7, 2017.
http://dx.doi.org/10.1142/S0219887817501080
---------- VANCOUVER ----------
Cirilo-Lombardo, D.J. Non-Riemannian generalizations of the Born-Infeld model and the meaning of the cosmological term. Int. J. Geom. Methods Mod. Phys. 2017;14(7).
http://dx.doi.org/10.1142/S0219887817501080