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

Author

Listed:
  • Wellingtone Kibande

    (Maseno University, Kenya)

  • Akeyo Joseph Omolo

    (Maseno University, Kenya)

  • Wamalwa Dismas Simiyu

    (Meru University of Science and Technology, Kenya)

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.

Suggested Citation

Handle: RePEc:epw:physic:v:5:y:2023:i:5:id:11277
DOI: 10.24018/ejphysics.2023.5.5.277
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