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General Relativity and Quantum Cosmology

arXiv:2111.04768 (gr-qc)
[Submitted on 8 Nov 2021]

Title:Modified Inertia as Nonconservative Newtonian Dynamics

Authors:Ahmad Shariati, Nosratollah Jafari
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Abstract:Modified Newtonian dynamics by Milgrom is a paradigm for explaining the rotation curves of spiral galaxies and various other large scale structures. This paradigm includes several different theories. Here we present Milgrom's modified inertia (MI) theory in terms of a simple and tractable non-conservative Newtonian dynamics, which is useful in obtaining observable predictions of MI. It is found that: 1) Modified inertia theory is equivalent to a Newtonian theory, with a non-conservative gravitational field, and dark matter density; 2) The tidal force in the equivalent Newtonian dynamics is non-conservative, and its effect on a binary system in free fall in the gravitational field of a spheroid is addressed. We also discuss attempts to restore conservation in MI.
Comments: 9 pages, 1 figure
Subjects: General Relativity and Quantum Cosmology (gr-qc); Cosmology and Nongalactic Astrophysics (astro-ph.CO); Astrophysics of Galaxies (astro-ph.GA); High Energy Physics - Theory (hep-th)
Cite as: arXiv:2111.04768 [gr-qc]
  (or arXiv:2111.04768v1 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.2111.04768
Journal reference: Phys.Rev.D 104 (2021) 8, 084070
Related DOI: https://doi.org/10.1103/PhysRevD.104.084070

Submission history

From: Nosratollah Jafari Sonbolabadi [view email]
[v1] Mon, 8 Nov 2021 19:03:13 UTC (71 KB)
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