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GR: Fachverband Gravitation und Relativitätstheorie

GR 2: Cosmology I

GR 2.4: Talk

Monday, March 20, 2023, 17:30–17:50, ZEU/0255

Cosmological backgrounds and their pertubations in teleparallel gravity — •Manuel Hohmann — University of Tartu, Estonia

Within the framework of teleparallel gravity, a flat affine connection is used as a dynamical field in addition to the metric tensor. This general teleparallel connection may further be restricted by imposing either vanishing torsion, giving rise to symmetric teleparallel gravity, or vanishing nonmetricity, which then leads to metric teleparallel gravity. In the field of cosmology, a homogeneous and isotropic connection must been chosen alongside the homogeneous and isotropic metric. This presentation gives a complete classification of all homogeneous and isotropic teleparallel geometries (general, metric and symmetric), as well as their perturbations. For the latter, gauge transformations and gauge invariant quantities are presented.