Artículo
On affine geometrical structure, generalized of Born-Infeld models and Eddington's world conjectures
Fecha de publicación:
04/2023
Editorial:
World Scientific
Revista:
International Journal of Geometric Methods in Modern Physics
ISSN:
0219-8878
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this work, we give a detailed description and discussion of the dynamic gravitational equations of the model with Lagrangian of the type f√det Rμνd4x as proposed by Eddington time ago but with Rμν being a non-Riemannian generalization of the Ricci tensor with the end to find the geometrical origin of the Eddington and Weyl conjectures concerning Lagrangian densities (generalized volume) and natural gauge. The Ricci tensor in our case is particularly based on an affine geometry with a generalized compatibility condition previously proposed in [B. McInnes, On the geometrical interpretation of 'non-symmetric' space-time field structures, Class. Quantum Grav. 1 (1984) 105-113; D. J. Cirilo-Lombardo, Non-Riemannian geometry, Born-Infeld models and trace-free gravitational equations, J. High Energy Astrophys. 16 (2017) 1-14]. Specifically, we show that: (i) the geometric action can be taken to a BI-type form considering a totally antisymmetric torsion field, (ii) Weyl's proposal considering a universal gauge linked to a cosmological constant λ appears in the model naturally due to the proposed affine geometry, (iii) the Eddington conjecture that establishes a relationship between metric and curvature or fundamental tensor with constant of proportionality λ (natural gauge) is geometrically verified in the model with generalized affine geometry.
Palabras clave:
BORN-INFELD MODEL
,
NON-RIEMANNIAN GEOMETRY
,
UNIFIED FIELD THEORIES
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Identificadores
Colecciones
Articulos(INFINA)
Articulos de INST.DE FISICA DEL PLASMA
Articulos de INST.DE FISICA DEL PLASMA
Citación
Cirilo, Diego Julio; On affine geometrical structure, generalized of Born-Infeld models and Eddington's world conjectures; World Scientific; International Journal of Geometric Methods in Modern Physics; 20; 5; 4-2023; 1-14
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