caa a22 4500 445387394 CHVBK 20180317143036.0 cr unu---uuuuu 170323e20110501xx s 000 0 eng 10.1007/s10714-010-1120-3 doi (NATIONALLICENCE)springer-10.1007/s10714-010-1120-3 Reconsiderations on the formulation of general relativity based on Riemannian structures [Elektronische Daten] [R. Cartas-Fuentevilla, A. Escalante-Hernandez, J. Lopez-Osio, J. Solano-Altamirano, J. Tlapanco-Limon, J. Berra-Montiel, P. Enriquez-Silverio] We prove that some basic aspects of gravity commonly attributed to the modern connection-based approaches, can be reached naturally within the usual Riemannian geometry-based approach, by assuming the independence between the metric and the connection of the background manifold. These aspects are: 1) the BF-like field theory structure of the Einstein-Hilbert action, of the cosmological term, and of the corresponding equations of motion; 2) the formulation of Maxwellian field theories using only the Riemannian connection and its corresponding curvature tensor, and the subsequent unification of gravity and gauge interactions in a four dimensional field theory; 3) the construction of four and three dimensional geometrical invariants in terms of the Riemann tensor and its traces, particularly the formulation of an anomalous Chern-Simons topological model where the action of diffeomorphisms is identified with the action of a gauge symmetry, close to Witten's formulation of three-dimensional gravity as a Chern-Simon gauge theory. 4) Tordions as propagating and non-propagating fields are also formulated in this approach. This new formulation collapses to the usual one when the metric connection is invoked, and certain geometrical structures very known in the traditional literature can be identified as remanent structures in this collapse. Springer Science+Business Media, LLC, 2011 Formulations of general relativity nationallicence Unification nationallicence BF-like field theory nationallicence Cartas-Fuentevilla R. Instituto de Física, Universidad Autónoma de Puebla, Apartado postal J-48, 72570, Puebla Pue, Mexico aut Escalante-Hernandez A. Instituto de Física, Universidad Autónoma de Puebla, Apartado postal J-48, 72570, Puebla Pue, Mexico aut Lopez-Osio J. Instituto de Física, Universidad Autónoma de Puebla, Apartado postal J-48, 72570, Puebla Pue, Mexico aut Solano-Altamirano J. Instituto de Física, Universidad Autónoma de Puebla, Apartado postal J-48, 72570, Puebla Pue, Mexico aut Tlapanco-Limon J. Instituto de Física, Universidad Autónoma de Puebla, Apartado postal J-48, 72570, Puebla Pue, Mexico aut Berra-Montiel J. Facultad de Ciencias Físico Matemáticas, Universidad Autónoma de Puebla, Apartado postal 1152, 72001, Puebla Pue, Mexico aut Enriquez-Silverio P. Facultad de Ciencias Físico Matemáticas, Universidad Autónoma de Puebla, Apartado postal 1152, 72001, Puebla Pue, Mexico aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/5(2011-05-01), 1365-1390 0001-7701 43:5<1365 2011 43 10714 https://doi.org/10.1007/s10714-010-1120-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-010-1120-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cartas-Fuentevilla R. Instituto de Física, Universidad Autónoma de Puebla, Apartado postal J-48, 72570, Puebla Pue, Mexico aut NATIONALLICENCE 700 1- Escalante-Hernandez A. Instituto de Física, Universidad Autónoma de Puebla, Apartado postal J-48, 72570, Puebla Pue, Mexico aut NATIONALLICENCE 700 1- Lopez-Osio J. Instituto de Física, Universidad Autónoma de Puebla, Apartado postal J-48, 72570, Puebla Pue, Mexico aut NATIONALLICENCE 700 1- Solano-Altamirano J. Instituto de Física, Universidad Autónoma de Puebla, Apartado postal J-48, 72570, Puebla Pue, Mexico aut NATIONALLICENCE 700 1- Tlapanco-Limon J. Instituto de Física, Universidad Autónoma de Puebla, Apartado postal J-48, 72570, Puebla Pue, Mexico aut NATIONALLICENCE 700 1- Berra-Montiel J. Facultad de Ciencias Físico Matemáticas, Universidad Autónoma de Puebla, Apartado postal 1152, 72001, Puebla Pue, Mexico aut NATIONALLICENCE 700 1- Enriquez-Silverio P. Facultad de Ciencias Físico Matemáticas, Universidad Autónoma de Puebla, Apartado postal 1152, 72001, Puebla Pue, Mexico aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/5(2011-05-01), 1365-1390 0001-7701 43:5<1365 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer