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Bremen 2017 – wissenschaftliches Programm

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GR: Fachverband Gravitation und Relativitätstheorie

GR 13: Grundlegende Probleme und allgemeiner Formalismus

GR 13.2: Vortrag

Donnerstag, 16. März 2017, 14:40–14:55, SFG 0140

Tonti diagrams for the teleparallelism theory of gravity (TG) and for the Poincaré gauge theory (PG) — •Friedrich W. Hehl1 and Enzo Tonti21Universität zu Köln and University of Missouri, Columbia — 2Università degli Studi di Trieste

One of us, over the past decades, developed a general classification program for classical and relativistic theories in physics, such as, e.g., for particle dynamics, electromagnetism, the mechanics of deformable media, fluid mechanics, thermodynamics etc. [1]. Here we will display for the first time the corresponding diagrams (i) for the teleparallelism theory of gravity, see [2], as well as (ii) for the Poincaré gauge theory, see [3]. Interrelationships between both diagrams of (i) and (ii) are discussed. [1] E. Tonti, The Mathematical Structure of Classical and Relativistic Physics, A general classification diagram (Birkhäuser-Springer, New York, 2013). [2] Y. Itin, Yu. N. Obukhov, J. Boos, and F. W. Hehl, Local and linear premetric teleparallel theory of gravity: Tonti diagram, constitutive tensor, gravitational waves, in preparation (2016/17). [3] M. Blagojević and F. W. Hehl (eds.), Gauge Theories of Gravitation: A Reader with Commentaries (Imperial College Press,London, 2013).

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