We explore the globular cluster population of NGC 1052-DF4, a dark matter deficient galaxy, using Bayesian inference to search for the presence of rotation. The existence of such a rotating component is relevant to the estimation of the mass of the galaxy, and therefore the question of whether NGC 1052-DF4 is truly deficient of dark matter, similar to NGC 1052-DF2 another galaxy in the same group. The rotational characteristics of seven globular clusters in NGC 1052-DF4 were investigated, finding that a non-rotating kinematic model has a higher Bayesian evidence than a rotating model, by a factor of approximately 2.5. In addition, we find that under the assumption of rotation, its amplitude must be small. This distinct lack of rotation strengthens the case that, based on its intrinsic velocity dispersion, NGC 1052-DF4 is a truly dark matter deficient galaxy.

翻译：我们利用贝叶斯推断研究了暗物质缺失星系NGC 1052-DF4的球状星团族群，以探寻其是否存在旋转。这种旋转成分的存在与星系质量的估算密切相关，进而关系到NGC 1052-DF4是否与同一星系群中的另一个星系NGC 1052-DF2类似，确实缺乏暗物质。通过对NGC 1052-DF4中七个球状星团的旋转特性进行分析，发现非旋转运动学模型的贝叶斯证据比旋转模型高出约2.5倍。此外，即使在假设存在旋转的情况下，其幅度也必须很小。这种明显的旋转缺失进一步支持了基于其本征速度弥散度的结论：NGC 1052-DF4是一个真正缺乏暗物质的星系。