
This article is cited in 1 scientific paper (total in 1 paper)
Do extended bodies move along geodesics of Riemannian spacetime?
V. I. Denisov^{}, A. A. Logunov^{}, M. A. Mestvirishvili^{}
Abstract:
The motion of an extended selfgravitating body in the gravitational field of another distant body is studied in the postNewtonian approximation of an arbitrary metric theory of gravitation. Comparison of the acceleration of the center of mass of the extended body with the acceleration of a point body moving in a Riemannian spacetime whose metric is formally equivalent to the metric of two moving extended bodies shows that in any metric theory of gravitation possessing energymomentum conservation laws for the matter and gravitational field taken together the center of mass of an extended body does not, in general, move along a geodesic of Riemannian spacetime. Application of the obtained general formulas to the earthsun system and the use of the lunar laser ranging data show that as the earth moves [n its orbit it executes oscillations with respect to a fiducial geodesic with a period of $\sim1$ h and an amplitude not less than $10^{2}$ cm, which is a postNewtonian quantity, so that the deviation of the
earth's motion from a geodesic can be detected in a corresponding experiment with postNewtonian accuracy. The difference between the accelerations of the center of mass of the earth and a test body in the postNewtonian approximation is $10^{7}$ of the earth's acceleration. The ratio of the earth's passive gravitational mass (defined as by Will) to its inertial mass is not unity but differs from it by an amount approximately equal to $10^{8}$.
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Theoretical and Mathematical Physics, 1981, 47:1, 281–301
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Received: 30.10.1980
Citation:
V. I. Denisov, A. A. Logunov, M. A. Mestvirishvili, “Do extended bodies move along geodesics of Riemannian spacetime?”, TMF, 47:1 (1981), 3–37; Theoret. and Math. Phys., 47:1 (1981), 281–301
Citation in format AMSBIB
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\paper Do extended bodies move along geodesics of Riemannian spacetime?
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\jour Theoret. and Math. Phys.
\yr 1981
\vol 47
\issue 1
\pages 281301
\crossref{https://doi.org/10.1007/BF01017018}
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This publication is cited in the following articles:

V. I. Denisov, A. A. Logunov, Yu. V. Chugreev, “Inequality of the passive gravitational mass and the inertial mass of an extended body”, Theoret. and Math. Phys., 66:1 (1986), 1–7

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