AdS black hole thermodynamics and microstructures from $f(Q)$ gravitation

Abstract

The significant properties and phase transition of charged Anti-de Sitter (AdS) black holes have been extensively studied in a variety of modified theories of gravity in the presence of numerous matter fields. The goal of our current research is to investigate the AdS black hole's thermodynamics under the impact of $f(Q)$ gravity. Additionally, this paper explores the black hole's local stability and phase structure under the relevant gravity. Besides, we use Ruppeiner geometry to look into the AdS black hole's microscopic structure. We have numerically computed the Ricci curvature scalar $R$ to explain the interactions between the AdS black hole's microscopic particles under the influence of $f(Q)$ gravity.