Abstract

Einsteinʼs general relativity predicts that the intrinsic rotation of an astronomical body leads to a general-relativistic contribution to its gravitational field. One of the consequences of general relativity is the so called Lense–Thirring effect, which has been a subject of many theoretical and experimental investigations during the last decades. In this article the model of a rigidly rotating, homogeneous, oblate spheroid will be analyzed with respect to its gravito-magnetic properties beyond the Lense–Thirring contribution to its gravitational field. As a consequence, a scalar, gravito-magnetic potential containing all the information about the spheroidʼs gravito-magnetic field will be derived. Based upon these results, general-relativistic effects like the gravito-magnetic gyroscope precession and the so called G-clock effect in the vicinity of the rotating spheroid will be treated with post-Newtonian accuracy.

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