Berlin 2015 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 15: Fundamental Problems and General Formalism

GR 15.2: Talk

Thursday, March 19, 2015, 11:30–11:50, H 2013

The Radar experiment in Finsler and Lorentzian spacetime geometry — •Christian Pfeifer — Institut für theoretische Physik, Leibniz Universität Hannover, Deutschland

The radar experiment intertwines an observers measurement of spatial lengths and distances and observers spatial equal time surfaces with the geometry of spacetime. Thus for any change of the geometry of spacetime, motivated for example from quantum gravity, explanations for dark matter and dark energy or an effective description of quantum field theory on curved spacetime, it has to be discussed how this change influences the observers measurement of spatial lengths. I will describe the radar experiment on a general Finsler spacetime geometry before I compare the experiment on two example geometries: a flat fourth order polynomial Finsler spacetime geometry and Minkowski spacetime geometry. The result for the forth order Finsler spacetime geometry will be the explicit spatial length measure of observers which deviates from the usual euclidean one and the change of the spatial equal time surfaces for observers moving relatively to each other. In a next step the radar experiment can be used to model observers on Finsler spacetime geometries such that the speed of light is a constant independent of the state of motion of the observer, as it is the case in Minkowski spacetime geometry.