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Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University

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Article

What forces act in relativistic gyroscope precession?

Semerák, O.

Class. Quantum Grav. 13(11), 2987-2994 (1996)

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Abstract

The translation of the relativistic motion into the language of forces, proposed by the author (1995, Nuovo Cimento B 110 973), is employed to interpret the gyroscope precession in general relativity. The precession is referred to the comoving Frenet triad built up along the projection of the gyroscope's trajectory onto the 3-space of the local hypersurface-orthogonal observer. The contributions of the centrifugal, the gravitational and the dragging + Coriolis forces are identified respectively with the Thomas, the geodetic, and the gravitomagnetic components of precession. Explicit expressions are given for several simple types of motion in the Kerr (or simpler) field in order to show that the general formulae obtained are not only very simple, but also yield clear results in accord with intuition in concrete situations.

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BibTeX

@article{UTF747,
  author        = {Semerák, O.},
  title         = {{What forces act in relativistic gyroscope precession?}},
  journal       = {Class. Quantum Grav.},
  volume        = {13},
  number        = {11},
  pages         = {2987-2994},
  year          = {1996},
  month         = {11},
  doi           = {10.1088/0264-9381/13/11/014},
}