Non-Riemannian generalizations of Born-Infeld models and trace free gravitational equations

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Non-Riemannian generalization of the standard Born-Infeld (BI) Lagrangian is reviewded in this talk from a theory of gravitation with dynamical torsion field. The field equations derived from the proposed action lead to a trace free gravitational equation (non-riemannian analog to the trace free equ...

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Autores principales: Cirilo-Lombardo, D.J., Vojinovic M., Salom I., Dragovich B.
Formato: CONF
Materias:
Cosmology
Gravitation
High energy physics
Torsional stress
Baryogenesis
Born-infeld model
Cosmic magnetic fields
Field equation
Fundamental constants
Grand unified theories
Leptogenesis
Matter field
Magnetic fields
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_97886824_v_n_p105_CiriloLombardo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_97886824_v_n_p105_CiriloLombardo2023-10-03T16:45:19Z Non-Riemannian generalizations of Born-Infeld models and trace free gravitational equations Cirilo-Lombardo, D.J. Vojinovic M. Salom I. Dragovich B. Cosmology Gravitation High energy physics Torsional stress Baryogenesis Born-infeld model Cosmic magnetic fields Field equation Fundamental constants Grand unified theories Leptogenesis Matter field Magnetic fields Non-Riemannian generalization of the standard Born-Infeld (BI) Lagrangian is reviewded in this talk from a theory of gravitation with dynamical torsion field. The field equations derived from the proposed action lead to a trace free gravitational equation (non-riemannian analog to the trace free equation (TFE) from[1][2][3]) and the field equations for the torsion respectively. In this theoretical context, the fundamental constants arise all from the same geometry through geometrical invariant quantities (as from the curvature R). New results involving generation of primordial magnetic fields and the link with leptogenesis and baryogenesis are presented and possible explanations given. The physically admisible matter fields can be introduced in the model via the torsion vector h. Such fields include some dark matter candidates such as axion, right neutrinos and Majorana and more-over, physical observables as vorticity can be included in the same way. From a new wormhole soluton in a cosmological spacetime with torsion we also show that the primordial cosmic magnetic fields can originate from h with the axion field (that is con tained in h ) the responsible to control the dynamics and stability of the cosmic magnetic field but not the magnetogenesis itself. The analisys of Grand Unified Theories (GUT) in the context of this model indicates that the group manifold candidates are based in SO(10), SU(5) or some exceptional groups as E(6),E (7), etc. Hints about astrophysical consequences of this formulation are given. © 2017 Proceedings of the 9th Mathematical Physics Meeting: School and Conference on Modern Mathematical Physics. All rights reserved. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_97886824_v_n_p105_CiriloLombardo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Cosmology
Gravitation
High energy physics
Torsional stress
Baryogenesis
Born-infeld model
Cosmic magnetic fields
Field equation
Fundamental constants
Grand unified theories
Leptogenesis
Matter field
Magnetic fields
spellingShingle Cosmology
Gravitation
High energy physics
Torsional stress
Baryogenesis
Born-infeld model
Cosmic magnetic fields
Field equation
Fundamental constants
Grand unified theories
Leptogenesis
Matter field
Magnetic fields
Cirilo-Lombardo, D.J.
Vojinovic M.
Salom I.
Dragovich B.
Non-Riemannian generalizations of Born-Infeld models and trace free gravitational equations
topic_facet Cosmology
Gravitation
High energy physics
Torsional stress
Baryogenesis
Born-infeld model
Cosmic magnetic fields
Field equation
Fundamental constants
Grand unified theories
Leptogenesis
Matter field
Magnetic fields
description Non-Riemannian generalization of the standard Born-Infeld (BI) Lagrangian is reviewded in this talk from a theory of gravitation with dynamical torsion field. The field equations derived from the proposed action lead to a trace free gravitational equation (non-riemannian analog to the trace free equation (TFE) from[1][2][3]) and the field equations for the torsion respectively. In this theoretical context, the fundamental constants arise all from the same geometry through geometrical invariant quantities (as from the curvature R). New results involving generation of primordial magnetic fields and the link with leptogenesis and baryogenesis are presented and possible explanations given. The physically admisible matter fields can be introduced in the model via the torsion vector h. Such fields include some dark matter candidates such as axion, right neutrinos and Majorana and more-over, physical observables as vorticity can be included in the same way. From a new wormhole soluton in a cosmological spacetime with torsion we also show that the primordial cosmic magnetic fields can originate from h with the axion field (that is con tained in h ) the responsible to control the dynamics and stability of the cosmic magnetic field but not the magnetogenesis itself. The analisys of Grand Unified Theories (GUT) in the context of this model indicates that the group manifold candidates are based in SO(10), SU(5) or some exceptional groups as E(6),E (7), etc. Hints about astrophysical consequences of this formulation are given. © 2017 Proceedings of the 9th Mathematical Physics Meeting: School and Conference on Modern Mathematical Physics. All rights reserved.
format CONF
author Cirilo-Lombardo, D.J.
Vojinovic M.
Salom I.
Dragovich B.
author_facet Cirilo-Lombardo, D.J.
Vojinovic M.
Salom I.
Dragovich B.
author_sort Cirilo-Lombardo, D.J.
title Non-Riemannian generalizations of Born-Infeld models and trace free gravitational equations
title_short Non-Riemannian generalizations of Born-Infeld models and trace free gravitational equations
title_full Non-Riemannian generalizations of Born-Infeld models and trace free gravitational equations
title_fullStr Non-Riemannian generalizations of Born-Infeld models and trace free gravitational equations
title_full_unstemmed Non-Riemannian generalizations of Born-Infeld models and trace free gravitational equations
title_sort non-riemannian generalizations of born-infeld models and trace free gravitational equations
url http://hdl.handle.net/20.500.12110/paper_97886824_v_n_p105_CiriloLombardo
work_keys_str_mv AT cirilolombardodj nonriemanniangeneralizationsofborninfeldmodelsandtracefreegravitationalequations
AT vojinovicm nonriemanniangeneralizationsofborninfeldmodelsandtracefreegravitationalequations
AT salomi nonriemanniangeneralizationsofborninfeldmodelsandtracefreegravitationalequations
AT dragovichb nonriemanniangeneralizationsofborninfeldmodelsandtracefreegravitationalequations
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