Non-Riemannian generalizations of the Born-Infeld model and the meaning of the cosmological term
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 aff...
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todo:paper_02198878_v14_n7_p_CiriloLombardo2023-10-03T15:11:11Z Non-Riemannian generalizations of the Born-Infeld model and the meaning of the cosmological term Cirilo-Lombardo, D.J. Anomalous MHD Born-Infeld fundamental constants magnetogenesis Non-Riemannian geometry 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. Fil:Cirilo-Lombardo, D.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02198878_v14_n7_p_CiriloLombardo |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Anomalous MHD Born-Infeld fundamental constants magnetogenesis Non-Riemannian geometry |
| spellingShingle |
Anomalous MHD Born-Infeld fundamental constants magnetogenesis Non-Riemannian geometry Cirilo-Lombardo, D.J. Non-Riemannian generalizations of the Born-Infeld model and the meaning of the cosmological term |
| topic_facet |
Anomalous MHD Born-Infeld fundamental constants magnetogenesis Non-Riemannian geometry |
| description |
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. |
| format |
JOUR |
| author |
Cirilo-Lombardo, D.J. |
| author_facet |
Cirilo-Lombardo, D.J. |
| author_sort |
Cirilo-Lombardo, D.J. |
| title |
Non-Riemannian generalizations of the Born-Infeld model and the meaning of the cosmological term |
| title_short |
Non-Riemannian generalizations of the Born-Infeld model and the meaning of the cosmological term |
| title_full |
Non-Riemannian generalizations of the Born-Infeld model and the meaning of the cosmological term |
| title_fullStr |
Non-Riemannian generalizations of the Born-Infeld model and the meaning of the cosmological term |
| title_full_unstemmed |
Non-Riemannian generalizations of the Born-Infeld model and the meaning of the cosmological term |
| title_sort |
non-riemannian generalizations of the born-infeld model and the meaning of the cosmological term |
| url |
http://hdl.handle.net/20.500.12110/paper_02198878_v14_n7_p_CiriloLombardo |
| work_keys_str_mv |
AT cirilolombardodj nonriemanniangeneralizationsoftheborninfeldmodelandthemeaningofthecosmologicalterm |
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1782026021730516992 |