Bremen 2017 – scientific programme
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GR: Fachverband Gravitation und Relativitätstheorie
GR 13: Grundlegende Probleme und allgemeiner Formalismus
GR 13.5: Talk
Thursday, March 16, 2017, 15:25–15:40, SFG 0140
Some results of canonical gauge theory of gravity — •Johannes Münch1,2, Jürgen Struckmeier1,3, Matthias Hanauske1, Johannes Kirsch2, David Vasak2, and Horst Stöcker1,2,3 — 1Goethe Universität, Frankfurt am Main, Deutschland — 2Frankfurt Institute for Advanced Studies (FIAS), Frankfurt am Main, Deutschland — 3GSI Helmholtzzentrum für Schwerionenforschung GmbH, Darmstadt, Deutschland
In analogy to SU(N)-gauge theories, the goal was set to also derive gravity as a gauge theory. This presentation shows how to deduce a gauge theory - in particular the relevant coupling terms - in the extended Hamiltonian formalism of field theory. The gauge group is formed by diffeomorphisms. The corresponding gauge transformations are formulated as canonical transformations in the Hamiltonian theory. It remains freedom in choosing a dynamic term, which represents the free theory of gravity. Thus, a special dynamic term is being discussed. The term refers to a linear combination of a quadratic and a linear term in the canonical momentum corresponding to the gauge field. In this way a modification to Einstein’s equations occurs. Conformities and deviations of the solutions compared to Einstein’s theory are being discussed.