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25 April 2024
 
  » arxiv » 1011.3618

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Recovering modified Newtonian dynamics by changing inertia
Ling-Jun Wang ;
Date 16 Nov 2010
AbstractMilgrom’s modified Newtonian dynamics (MOND) has done a great job on accounting for the rotation curves of a variety of galaxies by assuming that Newtonian dynamics breaks down for extremely low acceleration typically found in the galactic contexts. This breakdown of Newtonian dynamics may be a result of modified gravity or a manifest of modified inertia. The MOND phenomena are derived here based on three general assumptions: 1) Gravitational mass is conserved; 2) Inverse-square law is applicable at large distance; 3) Inertial mass depends on external gravitational fields. These assumptions not only recover the deep-MOND behavior, the accelerating expansion of the universe is also a result of these assumptions. Then Lagrangian formulae are developed and it is found that the assumed universal acceleration constant is actually slowly varying. This varying ’constant’ is just enough to account for the mass-discrepancy presented in bright clusters.
Source arXiv, 1011.3618
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