Würzburg 2018 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 8: Poster session (permanent)

GR 8.11: Poster

Wednesday, March 21, 2018, 18:00–19:30, Phys-SR-SE2

Relativistic geodesy: the geoid and leveling — •Dennis Philipp — ZARM, Universiät Bremen

We give a definition of the relativistic geoid in terms of the redshift potential, which exists for any isometric congruence of observers. Our definition yields the well known (post-)Newtonian notions in the respective limit, and it applies to any celestial object no matter how strong the gravitational field is. Mathematically, the definition of the geoid in terms of a redshift potential is equivalent to a definition in terms of an acceleration potential, and we use this equality to explore the field of relativistic leveling. The definitions are visualized by specific examples for analytically known simple spacetimes, and we show the influence of certain properties of the gravitational field, such as the gravitomagnetic parameter, on the results.