Testing Modified Gravity Theories with Numerical Solutions of the External Field Effect in Rotationally Supported Galaxies

Abstract

The strong equivalence principle is violated by gravity theories of Milgromian dynamics (MOND) through the action of the external field effect. We test two different Lagrangian theories AQUAL and QUMOND based on their numerical solutions of the external field effect, by comparing two independent estimates of the mean external field strength of the nearby universe: a theory-deduced value from fitting the outer rotation curves of 114 galaxies and an empirical value from the large-scale distribution of cosmic baryons. The AQUAL-deduced external field strength from rotation curves agrees with that from the large-scale cosmic environment, while QUMOND-deduced value is somewhat higher. This suggests that AQUAL is likely to be preferred over QUMOND as an effective non-relativistic limit of a potential relativistic modified gravity theory.

arXiv comment6 pages, 2 figures, 1 table (results revised, conclusions strengthened)

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Cited by in corpus (4)

• Breakdown of the Newton-Einstein Standard Gravity at Low Acceleration in Internal Dynamics of Wide Binary Stars
• On the tension between the Radial Acceleration Relation and Solar System quadrupole in modified gravity MOND
• On the fundamentality of the radial acceleration relation for late-type galaxy dynamics
• MIGHTEE-HI: The radial acceleration relation with resolved stellar mass measurements