标题： 关于球状星团尺度上MOND的成功与问题的综述 显示英文标题

标题： A review on success and problem of MOND on globular cluster scale

摘要： 许多过去试图反驳修正牛顿动力学（MOND）的努力反而加强了这一理论。 关于星系速度曲线的更好数据明确表明，在不需要微调的情况下，MOND优于冷暗物质。 对经典MOND不完整性的常见批评促使贝肯施泰因提出了修改相对论（MR）。 概述了MOND中的宇宙学和透镜效应后，我们回顾了小尺度上的MOND。 我们指出了一些关于MOND在两体松弛和潮汐截断方面可能存在的问题。 我们认为，任何类似于MOND的引力理论中的潮汐场都预测，一个双星系统的洛希瓣大小与二元系统重子质量比的1/3次幂成正比。 这一结果的一个直接应用是，由于引力和重子分布之间的一一对应关系，百万颗恒星组成的球状星团和百万颗恒星的矮星系（例如，银河系的卫星NGC2419和Carina）的潮汐场和潮汐截断半径会非常相似。 然而，这一预测似乎与以下事实相矛盾： {\it 所有}的球状星团被截断到比{\it 所有}矮星系小得多的尺寸。 潮汐是否唯一由重子决定也可以用来验证或证伪任何类似于MOND的引力理论，无论是经典的还是相对论性的。 显示英文摘要

摘要： Many past attempts to kill MOND have only strengthened the theory. Better data on galaxy velocity curves clearly favor MOND (without fine-tuning) over cold dark matter. The usual critism on the incompleteness of classical MOND has spurred a Modified Relativity (MR) by Bekenstein. After outlining cosmology and lensing in MOND, we review MOND on small scales. We point out some potential problems of MOND in two-body relaxation and tidal truncation. We argue that the tidal field in any MOND-like gravity theory predicts that the Roche lobe sizes of a binary system are simply proportional to the binary baryonic mass ratio to the power 1/3. An immediate application of this result is that the tidal field and tidal truncation radii of million-star globular clusters and million-star dwarf galaxies (e.g., the Milky Way satellites NGC2419 and Carina) would be very similar because of the one-to-one relation between gravity and baryon distribution. This prediction appears, however, inconsistent with the fact that {\it all} globulars are truncated to much smaller sizes than {\it all} dwarf galaxies. Whether tide is uniquely determined by baryons can also be used to falsify any MOND-like gravity theory, whether classical or relativistic.