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

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  • Wellingtone Kibande
  • Akeyo Joseph Omolo
  • Wamalwa Dismas Simiyu

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

  • Wellingtone Kibande & Akeyo Joseph Omolo & Wamalwa Dismas Simiyu, 2023. "Gravitoelectromagnetic Field Strength Tensor in Flat Spacetime Frame: Dynamics of a Gyroscope in the Earth’s Gravitational Field," European Journal of Applied Physics, European Open Science, vol. 5(5), pages 39-46, September.
    • Handle: RePEc:epw:physic:v:5:y:2023:i:5:id:11277
    DOI: 10.24018/ejphysics.2023.5.5.277
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    References listed on IDEAS

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    1. I. Ciufolini & E. C. Pavlis, 2004. "A confirmation of the general relativistic prediction of the Lense–Thirring effect," Nature, Nature, vol. 431(7011), pages 958-960, October.
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    Cited by:

    1. Wellingtone Kibande & Joseph Akeyo Omolo & Dismas Wamalwa Simiyu, 2024. "Gravitation in Flat Euclidean Spacetime Frame: Unified Electrogravity and Magnetogravity Forces," European Journal of Applied Physics, European Open Science, vol. 6(4), pages 1-7, June.

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