Scalar field as a Bose–Einstein condensate in a Schwarzschild–de Sitter spacetime

Abstract

In this paper, we analyze some properties of a scalar field configuration, where it is considered as a trapped Bose–Einstein condensate in a Schwarzschild–de Sitter background spacetime. In a natural way, the geometry of the curved spacetime provides an effective trapping potential for the scalar field configuration. This allows us to explore some thermodynamical properties of the system. Additionally, the curved geometry of the spacetime also induces a position-dependent self-interaction parameter, which can be interpreted as a kind of gravitational Feshbach resonance, that could affect the stability of the cloud and could be used to obtain information about the interactions among the components of the system.