Within the framework of the theory of strongly-interacting quantum Bose liquids, we consider a general relativistic model of self-interacting complex scalar fields with logarithmic nonlinearity taken from dense superfluid models. We demonstrate the existence of gravitational equilibria in this model, described by spherically symmeric nonsingular finite-mass asymptotically-flat solutions. These equilibrium configurations can describe both massive astronomical objects, such as bosonized superfluid stars or cores of neutron stars, and finite-size particles and non-topological solitons, such as Q-balls. We give an estimate for masses and sizes of such objects.

中文翻译：

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弯曲时空中的超流星和Q球

在强相互作用量子Bose液体理论的框架内，我们考虑了自相互作用的复杂标量场的广义相对论模型，其对数非线性来自稠密超流体模型。我们证明了该模型中的重力平衡的存在，用球对称非奇异有限质量渐近平解描述。这些平衡构型既可以描述巨大的天文物体（例如，被硼化的超流星或中子星的核心），又可以描述有限大小的粒子和非拓扑孤子（例如Q球）。我们给出了此类物体的质量和大小的估计值。