Comment on "The Tully-Fisher law and dark matter effects derived via modified symmetries" by I. Arraut

L. F. O. Costa, F. Frutos-Alfaro, Jos'e Nat'ario, Michael Soffel
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Abstract

It has been claimed in I. Arraut, 2023 EPL 144 29003 [arXiv:2311.05652] that General Relativity can generate effects equivalent to dark matter, based on a"new modified symmetry that emerges at galactic scale". We show that (i) the spacetime considered is unphysical, violating energy conditions everywhere; (ii) actually no new symmetry emerges, which results from incorrect definitions of angular momentum, velocity, and arclength in the proposed geometry; (iii) no Tully-Fisher law, or flat rotation curves are obtained either, they simply result from a series of errors in the equations.
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对 I. Arraut 所著 "通过修正对称性推导出的塔利-费舍定律和暗物质效应 "的评论
I. Arraut, 2023 EPL 144 29003 [arXiv:2311.05652]中声称,广义相对论可以产生等同于暗物质的效应,其基础是 "在星系尺度上出现的新的修正对称性"。我们证明:(i) 所考虑的时空是非物理的,到处都违反了能量条件;(ii) 实际上并没有出现新的对称性,这是由于所提出的几何中角动量、速度和长度的定义不正确造成的;(iii) 也没有得到塔利-费舍定律或平坦的旋转曲线,它们只是方程中一系列错误的结果。
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