This paper introduces a general mathematical framework for action-based field theories on
Finsler spacetimes. As most often fields on Finsler spacetime (eg, the Finsler fundamental …

We propose a new model for the description of a gravitating multiparticle system, viewed as
a kinetic gas. The properties of the (colliding or noncolliding) particles are encoded into a so …

We present a covariant multisymplectic formulation for the Einstein-Hilbert model of general
relativity. As it is described by a second-order singular Lagrangian, this is a gauge field …

This paper characterizes the symmetric rank-2 stress–energy–momentum tensor associated
with fields whose Lagrangian densities are expressed as the dot product of two multivector …

(Pseudo-) Finsler geometry is the most general geometry admitting a parametrization-
invariant arc length of curves. It generalizes Riemannian geometry by using as its …

A geometric construction for obtaining a prolongation of a connection to a connection of a
bundle of connections is presented. This determines a natural extension of the notion of …

We present a derivation of a manifestly symmetric form of the stress-energy-momentum
using the mathematical tools of exterior algebra and exterior calculus, bypassing the …

This thesis is largely based on joint papers with: Christian Pfeifer (University of Bremen,
Ger% many), Manuel Hohmann (University of Tartu, Estonia), Demeter Krupka (Lepage …

The theories of gravity are one of the most important topics in theoretical physics and
mathematical physics nowadays. The classical formulation of gravity uses the Hilbert …