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.

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