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The Relativistic Geoid: Gravity Potential and Relativistic Effects by Philipp, Dennis; Hackmann, Eva; Lämmerzahl, Claus; Müller, Jürgen is a scholarly article available to read on EtoBox.

What is The Relativistic Geoid: Gravity Potential and Relativistic Effects about?

The Earth's geoid is one of the most essential and fundamental concepts to provide a gravity field-related height reference in geodesy and associated sciences. To keep up with the ever-increasing experimental capabilities and to consistently interpret high-precision measurements without any doubt, a relativistic treatment of geodetic notions (including the geoid) within Einstein's theory of General Relativity is inevitable. Building on the theoretical construction of isochronometric surfaces and the so-called redshift potential for clock comparison, we define a relativistic gravity potential as a generalization of (post-)Newtonian notions. This potential exists in any stationary configuration with rigidly co-rotating observers, and it is the same as realized by local plumb lines. In a second step, we employ the gravity potential to define the relativistic geoid in direct analogy to the Newtonian understanding. In the respective limit, the framework allows to recover well-known (post-) Newtonian results. For a better illustration and proper interpretation of the general relativistic gravity potential and geoid, some particular examples are considered. Explicit results are derived fo

Author

Philipp, Dennis; Hackmann, Eva; Lämmerzahl, Claus; Müller, Jürgen

Published

2019

Language

EN