Gravitoelectromagnetic Field Strength Tensor in Flat Spacetime Frame: Dynamics of a Gyroscope in the Earth’s Gravitational Field

Wellingtone Kibande, Akeyo Joseph Omolo and Wamalwa Dismas Simiyu
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Wellingtone Kibande: Maseno University, Kenya
Akeyo Joseph Omolo: Maseno University, Kenya
Wamalwa Dismas Simiyu: Meru University of Science and Technology, Kenya

European Journal of Applied Physics, 2023, vol. 5, issue 5, 39-46

Abstract: In this article, we develop gravitoelectromagnetism (GEM) as a formal relativistic theory of gravitation characterized by a field potential fourvector in a flat (Minkowski) spacetime frame. By reorganizing the Lense-Thirring spacetime metric of linearized general relativity, we have determined the appropriate field potential four-vector and the field strength tensor which generates dynamics in the GEM field. The general covariant equation of motion of the spin four-vector of a gyroscope driven by the GEM field strength tensor provides the expected form of the frame-dragging and geodetic effects after introducing a gyromagnetic ratio η = 4 as an internal dynamical property of the gyroscope.

Keywords: Gravitational field tensor; gravitational four-vector potential; gravitational gyromagnetic ratio (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:epw:physic:v:5:y:2023:i:5:id:11277

DOI: 10.24018/ejphysics.2023.5.5.277

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