Abstract
We obtain an integral form of the Papapetrou equations, which describes the motion of an extended body in an external gravitational field. Using the Fock method, we calculate an explicit form for the components of the spin tensor and derive relativistic equations of rotational motion in the Schwarzschild space V4. We show that the spin of the body becomes proportional not only to the angular velocity but also to the angular momentum. Thus, induced rotation also follows from the Papapetrou equations.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
L. Infeld and E. Plebanski, Motion and Relativity [Russian translation], IL, Moscow (1963).
V. A. Fock, The Theory of Space, Time, and Gravity [in Russian], GIFML, Moscow (1961).
M. M. Abdil'din, The Mechanics of the Einstein Theory of Gravitation [in Russian], Nauka, Alma-Ata (1988).
A. P. Ryabushko, The Motion of Bodies in the General Theory of Relativity [in Russian], Vysheishaya Shkola, Minsk (1979).
K. Will, Theory and Experiment in Gravitational Physics [Russian translation], Energoatomizdat, Moscow (1985).
A. Papapetrou, Proc. Roy. Soc.,A209, 248 (1951).
M. M. Abdil'din and O. A. Pushkarev, Gravitation and Quantum Field Theory, KazGU, Alma-Ata, 7 (1990).
V. A. Brumberg, Relativistic Celestial Mechanics [in Russian], Nauka, Moscow (1972).
Additional information
Astrophysics Institute, Kazan Academy of Sciences. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 117–124, October, 1992.
Rights and permissions
About this article
Cite this article
Chechin, L.M. Induced rotation in the Papapetrou equations. Russ Phys J 35, 991–997 (1992). https://doi.org/10.1007/BF00559901
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00559901