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Nonlocal Gravity$
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Bahram Mashhoon

Print publication date: 2017

Print ISBN-13: 9780198803805

Published to Oxford Scholarship Online: July 2017

DOI: 10.1093/oso/9780198803805.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 19 September 2021

Nonlocal Gravity and Dark Matter

Nonlocal Gravity and Dark Matter

Chapter:
(p.166) 8 Nonlocal Gravity and Dark Matter
Source:
Nonlocal Gravity
Author(s):

Bahram Mashhoon

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198803805.003.0008

The implications of linearized NLG for the gravitational physics of the Solar System, spiral galaxies and nearby clusters of galaxies are critically examined in this chapter. In the Newtonian regime, NLG involves a reciprocal kernel with three length parameters. We discuss the determination of these parameters by comparing the predictions of the theory with observational data. Furthermore, the virial theorem for the Newtonian regime of NLG is derived and its consequences for nearby “isolated” astronomical systems in virial equilibrium are investigated. For such a galaxy, in particular, the galaxy’s baryonic diameter namely, the diameter of the smallest sphere that completely surrounds the baryonic system at the present time, is predicted to be larger than the basic nonlocality lengthscale, which is about 3 kpc, times the effective dark matter fraction of the galaxy.

Keywords:   reciprocal kernel, Solar System, dark matter fraction, virial theorem, spiral galaxy, cluster of galaxies

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