The post-Newtonian problem of the precession of the axis of rotation of a gyroscope rotating around the earth in relation to distant stars belongs to a number of “nonclassical” verifications of the consequences of the theory of gravitation with an independent determination of the post-Newtonian parameters. A generalized Fermi-Walker transport equation is constructed and the problem of precession of a gyroscope is solved for the nonregular generalized Finslerian metric gij=e2σ(x,y)aij, where aij signifies the Riemannian metric tensor. The result contains a contribution in addition to the usual Riemannian PPN-terms, proportional to the parameter σa characterizing the dependence of σ on the speed of motion.
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In conclusion, the author expresses deep gratitude to G. S. Asanov (MGU) for stating the problem and valuable comments.
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Aryngazin, A.K. Precession of a gyroscope for the nonregular generalized finslerian metric gij = e2σ(x,y)aij(x). Soviet Physics Journal 32, 398–401 (1989). https://doi.org/10.1007/BF00895325
- Transport Equation
- Independent Determination
- Distant Star