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In any physical system, when we move from short to large scales, newspacetime symmetries emerge which help us to simplify the dynamics of thesystem. In this letter we demonstrate that certain variations on the symmetriesof General Relativity at large scales, generate the effects equivalent to DarkMatter. In particular, we reproduce the Tully-Fisher law, consistent with thepredictions proposed by MOND. Additionally, we demonstrate that the dark mattereffects derived in this way, are consistent with the predictions suggested byMOND, without modifying gravity.

The Tully-Fisher's law and Dark Matter effects derived via modified symmetries