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Misner, C.W., Thorne, K.S., Wheeler, J.A.: Gravitation. W.H. Freeman and Company, San Francisco (1973).

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Article

Accounting for the Geometric Factor in Classical Gravity

1Independent Researcher, Russia


Frontiers of Astronomy, Astrophysics and Cosmology. 2018, Vol. 4 No. 1, 18-29
DOI: 10.12691/faac-4-1-2
Copyright © 2018 Science and Education Publishing

Cite this paper:
Alexey S Belyaev. Accounting for the Geometric Factor in Classical Gravity. Frontiers of Astronomy, Astrophysics and Cosmology. 2018; 4(1):18-29. doi: 10.12691/faac-4-1-2.

Correspondence to: Alexey  S Belyaev, Independent Researcher, Russia. Email: bel_as@mail.ru

Abstract

This paper shows that it is often necessary to consider the geometric factor establishing the relationship between the geometric dimensions of interacting objects and the distance between them when describing gravitational interactions within the framework of classical gravity. Especially when the size of an object is comparable to the distance to the reference point from the centre of its mass, including a spherically symmetric distribution of mass throughout the volume, it is unacceptable to replace it with a point mass located at the centre of mass of the object and is equal to the mass of the object. Another special case is the description of the gravitational field inside a material object with a mass distributed over its volume. For example, it is shown that within the spherically concentric cavity of a material object with a spherically symmetric mass distribution a gravitational field is present and that the substance inclusions in the cavity is gravitationally attracted to the wall of the cavity. One consequence of this conclusion is that the halo of large galaxies, consisting of a hidden mass, concentrates its material at the periphery, and does not form rarefied corona with a decreasing density of matter at the periphery.

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