Chapter

Nonlocal Gravity and Dark Matter

Bahram Mashhoon

in Nonlocal Gravity

Published in print May 2017 | ISBN: 9780198803805
Published online July 2017 | e-ISBN: 9780191842313 | DOI: https://dx.doi.org/10.1093/oso/9780198803805.003.0008

Series: International Series of Monographs on Physics

Nonlocal Gravity and Dark Matter

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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

Chapter.  11499 words.  Illustrated.

Subjects: Astronomy and Astrophysics ; Mathematical and Statistical Physics

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