作为玻色-爱因斯坦凝聚体的暗物质：相对论性非最小耦合情形
Dark matter as a Bose--Einstein Condensate: the relativistic non-minimally coupled case
摘要：
玻色-爱因斯坦凝聚体最近被认为是暗物质的候选者。为了解释与这种模型相关的现象学，我们通过研究弯曲背景上的相对论BEC的最一般情况，包括非最小耦合曲率，扩展了以前的研究。特别是，我们讨论了两个阶段的宇宙演化的可能性：一个冷的暗物质的阶段在大尺度/早期和凝聚相内的暗物质晕。在第一阶段，暗物质是由一个最小耦合弱自相互作用标量场，而在第二个暗物质凝聚，我们将认为，发展作为一个结果的非最小耦合。最后，我们讨论了这种非最小耦合如何提供一种新的机制，以解决冷暗物质在星系尺度的范例问题。
英文摘要：
Bose--Einstein Condensates have been recently proposed as dark matter candidates. In order to characterise the phenomenology associated to such models, we extend previous investigations by studying the most general case of a relativistic BEC on a curved background including a non-minimal coupling to curvature. In particular, we discuss the possibility of a two phase cosmological evolution: a cold dark matter-like phase at the large scales/early times and a condensed phase inside dark matter halos. During the first phase dark matter is described by a minimally coupled weakly self-interacting scalar field, while in the second one dark matter condensates and, we shall argue, develops as a consequence the non-minimal coupling. Finally, we discuss how such non-minimal coupling could provide a new mechanism to address cold dark matter paradigm issues at galactic scales.
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