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Testing MOG, Non-Local Gravity and MOND with rotation curves of dwarf galaxies

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arxiv 1609.07851 v2 pith:H754AWSR submitted 2016-09-26 astro-ph.GA astro-ph.CO

classification astro-ph.GAastro-ph.CO
keywords galaxiesgravitydwarfrotationcurvesmodifiedtheoriesgravitational
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abstract

Modified Gravity (MOG) and Non-Local Gravity (NLG) are two alternative theories to General Relativity. They are able to explain the rotation curves of spiral galaxies and clusters of galaxies without including dark matter (Moffat & Rahvar 2013, 2014; Rahvar & Mashhoon 2014). In the weak-field approximation these two theories have similar forms, with an effective gravitational potential that has two components: (i) Newtonian gravity with the gravitational constant enhanced by a factor $(1+\alpha)$ and (ii) a Yukawa type potential that produces a repulsive force with length scale $1/\mu$. In this work we compare the rotation curves of dwarf galaxies in the LITTLE THINGS catalog with predictions of MOG, NLG and Modified Newtonian Dynamics (MOND). We find that the universal parameters of these theories, can fit the rotation curve of dwarf galaxies with a larger stellar mass to the light ratio compared to the nearby stars in the Milky Way galaxy. Future direct observations of mass function of stars in the dwarf galaxies can examine different modified gravity models.

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  1. Dwarf galaxies in non-local gravity

    astro-ph.CO 2025-07 conditional novelty 5.0 of 10

    Non-local gravity can fit the velocity dispersions of eight dwarf spheroidals without dark matter, but its scale parameter is poorly constrained and two galaxies show tension with earlier rotation-curve results.

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