Charged Simpson–Visser AdS black holes: geodesic structure and thermodynamic properties

Abstract

In this article, we apply the Simpson–Visser (SV) regularization scheme to Anti-de Sitter (AdS) charged black holes and investigate the resulting spacetime geometry in detail, with emphasis on both geodesic structure and thermodynamic behavior. The simultaneous presence of the electric charge, the AdS scale and the SV regularization parameter is physically important, because these three ingredients affect the horizon structure, the photon region, the particle dynamics and the thermodynamic phase behavior in different but coupled ways. In particular, we analyze the motion of massless particle, focusing on key features such as the photon sphere, black hole shadow, photon trajectory and the dynamics of charged particles, including the characteristics of the circular and type of orbits. Furthermore, we compare the theoretical predictions of the charged SV–AdS black hole with recent observations reported by the Event Horizon telescope (EHT) for M87* and Sgr A*. Beyond the geodesic analysis, we explore the thermodynamics of the regularized charged SV–AdS black hole by deriving essential quantities such as the Hawking temperature, Gibbs free energy, and specific heat capacity. Through a systematic examination of these thermodynamic variables, we demonstrate how the regularization parameter inherent in the SV regularization influences particle dynamics, stability conditions, and the overall thermal properties of the modified black hole solution. This comprehensive study highlights the interplay between regularization effects and the physical observables associated with charged AdS black holes.