Lue Arthur, Starkman Glenn D
Center for Education and Research in Cosmology and Astrophysics, Department of Physics, Case Western Reserve University, Cleveland, Ohio 44106-7079, USA.
Phys Rev Lett. 2004 Apr 2;92(13):131102. doi: 10.1103/PhysRevLett.92.131102.
Explaining the effects of dark matter using modified gravitational dynamics (MOND) has for decades been both an intriguing and controversial possibility. By insisting that the gravitational interaction that accounts for the Newtonian force also drives cosmic expansion, one may kinematically identify which cosmologies are compatible with MOND, without explicit reference to the underlying theory so long as the theory obeys Birkhoff's law. We find that the critical acceleration a(0) must have a slight source-mass dependence (a(0) approximately M(1/3)) and that MOND cosmologies are naturally compatible with observed late-time expansion history. However, cosmologies that can produce enough density perturbations to account for structure formation are contrived and fine tuned. Even then, they may be marginally ruled out by evidence of early (z approximately 20) reionization.
几十年来，用修正引力动力学（MOND）来解释暗物质的影响一直是一种既引人入胜又颇具争议的可能性。通过坚持认为解释牛顿力的引力相互作用也驱动宇宙膨胀，人们可以从运动学角度确定哪些宇宙学与MOND兼容，只要该理论服从伯克霍夫定律，就无需明确提及基础理论。我们发现，临界加速度a(0)必须对源质量有轻微依赖性（a(0)约为M(1/3)），并且MOND宇宙学自然地与观测到的晚期膨胀历史兼容。然而，能够产生足够密度扰动以解释结构形成的宇宙学是人为设计且经过精细调整的。即便如此，它们可能会被早期（z约为20）再电离的证据勉强排除。
