Curved space and particle physics effects on the formation of Bose-Einstein condensation around a Reissner-Nordström black hole

Abstract

We consider two scalar fields interacting through a ${\chi }^{\ast }\chi {\varphi }^{\ast }\varphi$ term in the presence of a Reissner-Nordstrom black hole. Initially, only $\chi$ particles are present. We find that the produced $\varphi$ particles are localized in a region around the black hole and have a tendency towards condensation provided that $\varphi$ particles are much heavier than the $\chi$ particles. We also find that such a configuration is phenomenologically viable only if the scalars and the black hole have dark electric charges.

The submitted version of the paper. The revised form of the paper is published in European Physical Journal Plus 136 (2021) 972