Angular momentum and gyroscope in flat space-time theory of gravitation |
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Authors: | Walter Petry |
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Affiliation: | (1) Mathematisches Institut der Universität Düsseldorf, Düsseldorf, Germany |
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Abstract: | The study of a previously proposed theory of gravitation in flat space-time (Petry, 1981a) is continued. A conservation law for the angular momentum is derived. Additional to the usual form, there must be added a term coming from the spin of the gravitational field. The equations of motion and of spin angular momentum for a spinning test particle in a gravitational field are given. An approximation of the equations of the spin angular momentum in the rest frame of the test particle is studied. For a gyroscope in an orbit of a rotating massive body (e.g., the Earth) the precession of the spin axis agrees with the result of Einstein's general theory of relativity. |
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