Vortragsankündigung
Im Rahmen des Oberseminars Analysis/Numerik spricht
Herr Dr. Christian Pfeifer
(ZARM, Universität Bremen)
über
Finsler spacetime geometry and the gravitational field of kinetic gases
Abstract: Pseudo-Finsler manifolds generalize pseudo-Riemannian manifolds in a straightforward manner. The geometry of a Finslerian manifold is derived from a general pseudo-norm, analogously to how the geometry of pseudo-Riemannian manifolds is derived from a metric tensor. In physics, pseudo-Finsler geometry is a viable and highly interesting candidate for an extended geometry of spacetime that can provide an improved description of gravitational interaction beyond general relativity, potentially offering a geometric understanding of dark matter and dark energy. From a mathematical perspective the study of pseudo-Finsler geometry offers, among others, interesting applications to optimisation problems, inequalities or the question of metrizabillity of affine connections.
In this talk, I will discuss the Finsler gravity framework as extension of general relativity, and demonstrate that in homogeneous and isotropic symmetry, the Finsler gravity equation possesses solutions that describe an accelerated expanding universe, without the need of a cosmological constant or any other additional fields. I will introduce the concept of Finsler spacetimes and their classification according to their deviation from pseudoRiemannian geometry. Afterwards I will focus on the Finsler gravity equation, the coupling between Finsler geometry and the kinetic gas, and how the Finsler gravity equation takes a Friedmann equation like form in homogeneous and isotropic symmetry. Finally we will see that this Finsler Friedmann equation allows for vacuum solutions that describe an exponentially expanding universe, which is a first direct indication that Finsler spacetimes are capable to address the nature of dark energy.
Der Vortrag findet statt am
Donnerstag, den 11.06.2026 um 14.30 – 15.30 Uhr im Raum W01 1-117
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