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

TL;DR

This paper models a scalar field as a Bose-Einstein condensate within a Schwarzschild-de Sitter spacetime, revealing how spacetime curvature influences its thermodynamics and stability through an effective trapping potential and variable self-interaction.

Contribution

It introduces a novel approach to analyze scalar fields as Bose-Einstein condensates in curved spacetime, highlighting the effects of geometry on interactions and stability.

Findings

Spacetime curvature creates an effective trapping potential.

The geometry induces a position-dependent self-interaction parameter.

Potential for gravitational Feshbach resonance affecting stability.

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..