Bremen 2017 – wissenschaftliches Programm

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GR: Fachverband Gravitation und Relativitätstheorie

GR 4: Klassische Allgemeine Relativitätstheorie 1

GR 4.4: Vortrag

Dienstag, 14. März 2017, 09:50–10:10, SFG 0140

The relativistic geoid — •Dennis Philipp, Dirk Puetzfeld, Eva Hackmann, Volker Perlick, and Claus Lämmerzahl — ZARM, University of Bremen, Germany

We construct a relativistic geoid based on a time-independent redshift potential, which foliates the spacetime into isochronometric surfaces. This relativistic potential coincides with the acceleration potential for isometric congruences. Known Newtonian and post-Newtonian results are recovered in the respective limits. Being fully relativistic, this notion of a geoid can also be applied to neutron stars.

By definition, this relativistic geoid can be determined by a congruence of Killing observers equipped with standard clocks by comparing their frequencies. The redshift potential gives the correct result also for frequency comparison through optical fiber links as long as the fiber is at rest w.r.t. the congruence.

We give explicit expressions for the relativistic geoid in the Kerr spacetime and the Weyl class of spacetimes. To investigate the influence of higher order mass multipole moments we compare the results for the Schwarzschild case to those obtained for the Erez-Rosen and q-metric spacetimes.