Covariant theory of Bose-Einstein condensates in curved spacetimes with electromagnetic interactions: The hydrodynamic approach
Covariant theory of Bose-Einstein condensates in curved spacetimes with electromagnetic interactions: The hydrodynamic approach
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弯曲时空中具有电磁相互作用的玻色-爱因斯坦凝聚态的协变理论：流体动力学方法
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
T. Matos
中科院分区：
文献类型：
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作者：
P. Chavanis;T. Matos
摘要：我们发展了一个流体动力学表示的克莱因-戈登-麦克斯韦-爱因斯坦方程。这些方程结合了联合收割机量子力学、电磁学和广义相对论。我们考虑的情况下，一个任意弯曲的时空，弱引力场的情况下，在一个静态或膨胀的背景，和非相对论性（牛顿）的限制。Klein-Gordon-Maxwell-Einstein方程控制着复杂标量场的演化，可能描述了自引力玻色-爱因斯坦凝聚，耦合到电磁场。它们可能会在暗物质、玻色子星和具有超流核的中子星的背景下找到应用。
Abstract.We develop a hydrodynamic representation of the Klein-Gordon-Maxwell-Einstein equations. These equations combine quantum mechanics, electromagnetism, and general relativity. We consider the case of an arbitrary curved spacetime, the case of weak gravitational fields in a static or expanding background, and the nonrelativistic (Newtonian) limit. The Klein-Gordon-Maxwell-Einstein equations govern the evolution of a complex scalar field, possibly describing self-gravitating Bose-Einstein condensates, coupled to an electromagnetic field. They may find applications in the context of dark matter, boson stars, and neutron stars with a superfluid core.