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Universe 2016, 2(2), 9; doi:10.3390/universe2020009

Virial Theorem in Nonlocal Newtonian Gravity

Department of Physics and Astronomy, University of Missouri, Columbia, MO 65211, USA
Academic Editors: Lorenzo Iorio and Elias C. Vagenas
Received: 6 April 2016 / Revised: 3 May 2016 / Accepted: 11 May 2016 / Published: 30 May 2016
View Full-Text   |   Download PDF [269 KB, uploaded 30 May 2016]

Abstract

Nonlocal gravity is the recent classical nonlocal generalization of Einstein’s theory of gravitation in which the past history of the gravitational field is taken into account. In this theory, nonlocality appears to simulate dark matter. The virial theorem for the Newtonian regime of nonlocal gravity theory is derived and its consequences for “isolated” astronomical systems in virial equilibrium at the present epoch are investigated. In particular, for a sufficiently isolated nearby galaxy in virial equilibrium, the galaxy’s baryonic diameter D 0 —namely, the diameter of the smallest sphere that completely surrounds the baryonic system at the present time—is predicted to be larger than the effective dark matter fraction f D M times a universal length that is the basic nonlocality length scale λ 0 3 ± 2 kpc. View Full-Text
Keywords: nonlocal gravity; celestial mechanics; dark matter nonlocal gravity; celestial mechanics; dark matter
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Mashhoon, B. Virial Theorem in Nonlocal Newtonian Gravity. Universe 2016, 2, 9.

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