Finsler spacetimes and gravity
arXiv:1210.2973
Abstract
We consider the geometry of spacetime based on a non-metric, Finslerian, length measure, which, in terms of physics, represents a generalized clock. Our defnition of Finsler spacetimes ensure a well defined notion of causality, a precise description of observers and a geometric background for field theories. Moreover we present our Finsler geometric extension of the Einstein equations, which determine the geometry of Finsler spacetimes dynamically.
Conference proceedings "Relativity and Gravitation - 100 years after Einstein in Prague", 5 pages