Speaker
Lehel Csillag
(UBB, UniTBV)
Description
In alternative theories of gravity, particles may follow either Riemannian geodesics or non-Riemannian autoparallels, depending on the presence of a geometry-matter coupling via hypermomentum. Typically, autoparallels associated with connections that have nonmetricity are not derived from a variational principle. In this talk, we take the first steps toward finding a Finslerian variational principle, by rewriting the autoparallel equation as a Finslerian geodesic. Specifically, we provide the first steps toward constructing a Finsler $(\alpha,\beta)$ Lagrangian, which metrizes certain connections with vectorial nonmetricity.
Author
Lehel Csillag
(UBB, UniTBV)
Co-authors
Christian Pfeifer
(University of Bremen, ZARM)
Prof.
Nicoleta Voicu
(UniTBV)
Prof.
Salah Goma Elgendi
(Islamic University of Madinah & Benha Univesity)
