Bonn 2020 – scientific programme
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GR: Fachverband Gravitation und Relativitätstheorie
GR 2: Classical Theory of General Relativity 1
GR 2.1: Invited Talk
Monday, March 30, 2020, 11:15–12:00, H-HS IX
Relativistic geodesy — •Claus Lämmerzahl and Volker Perlick — ZARM, University of Bremen, Am Fallturm, 28359 Bremen, Germany
Owing to new higly sensitive divices like clocks, freely falling particles, spinning tops, and laser and atom interferometers on ground and in space the relativistic gravitational field of the Earth can now be measured with unprecedented accuracy. This requires a relativistic formulation of geodesy. Here a fully general relativistic scheme for geodesy is presented. Starting from stationarity two geoids can be defined for the Earth, one related to the norm of the underlying Killing vector, the other related to its twist. The first one can be measured with clocks, falling bodies, or atom interferometry, the other can be measured with spinning tops or by measuring a Sagnac effect with laser or atom interferometry. Finally, based on analyses by Hansen, Simon, and Beig a scheme is presented for measuring the full gravitational field of the Earth using laser interferometry employed by GRACE Follow On.