用径向加速度关系检验Verlinde的涌现引力
Testing Verlinde's Emergent Gravity with the Radial Acceleration Relation
摘要：
Verlinde（2016）最近提出时空和引力可能来自一个潜在的微观理论。在德西特时空中，这种突现引力（EG）包含了一个由暗能量产生的额外引力，这可以解释在星系系统中观测到的质量差异，而不需要暗物质。对于一个质点，EG等价于修正牛顿动力学（MOND）。我们表明，这种等价性不适用于有限大小的星系：EG和MOND之间有显着的差异，在星系的内部区域。我们面对的理论预测与经验径向加速关系（RAR）。我们发现：（i）EG与观测到的RAR一致，只有当我们大大降低基准恒星质光比;由此产生的值与其他天文学估计的张力;（ii）EG预测RAR周围的残差应该与半径相关;这种残差相关性没有观察到。
英文摘要：
Verlinde (2016) has recently proposed that spacetime and gravity may emerge from an underlying microscopic theory. In a de Sitter spacetime, such emergent gravity (EG) contains an additional gravitational force due to dark energy, which may explain the mass discrepancies observed in galactic systems without the need of dark matter. For a point mass, EG is equivalent to Modified Newtonian Dynamics (MOND). We show that this equivalence does not hold for finite-size galaxies: there are significant differences between EG and MOND in the inner regions of galaxies. We confront theoretical predictions with the empirical Radial Acceleration Relation (RAR). We find that (i) EG is consistent with the observed RAR only if we substantially decrease the fiducial stellar mass-to-light ratios; the resulting values are in tension with other astronomical estimates; (ii) EG predicts that the residuals around the RAR should correlate with radius; such residual correlation is not observed.
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