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There exists several modified gravity theories designed to reproduce the empirical Milgrom's formula (MOND).
M. Milgrom, Astrophys. J. 270
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J.D. Bekenstein, M. Milgrom, Astrophys.J. 286
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M. Milgrom, Astrophys. J. 306
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M. Milgrom, Astrophys. J. 429
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M. Milgrom, Phys. Rev. E 56
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J.D. Bekenstein, Phys. Rev. D 70
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T.G. Zlosnik, et al., Phys. Rev. D 74
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M. Milgrom, Phys. Rev. D 80
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R. Matsuo, , G. Starkman, arXiv:0911.3658 (2009)
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T. Clifton, T.G. Zlosnik, arXiv:1002.1448 (2010)
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M. Milgrom, arXiv:0911.5464 (2010)
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G. Angus etal. Mon.Not.Roy.Astron.Soc. 402
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