Speaker
Description
Finsler spacetimes are constructed such that they deliver a causal structure on the set of events, give a definition of observers as well as their measurements and encode the gravitational dynamics. In my master thesis “Local Symmetries of Finsler Gravity and its Dynamics” I focus on the notion of observers with the overall goal of determining the possible observer transformations. In a short talk I would like to summarise first results of my research: At the beginning I define the notion of local symmetry transformations of Finsler spacetimes and introduce one possible generator for such symmetries. I then analyse the algebraic structure of this candidate and have a look at its specific form in the case of (α,β)-metrics. Furthermore, I examine the Lie derivatives of the fundamental building blocks of the geometry defined by the n-th partial derivatives of the Finsler-Lagrange function.
