Thermodynamic topology of Hot NUT-Kerr-Newman-Kasuya-Anti-de Sitter black hole

Abstract

This work is devoted to studying the thermodynamic topology of Hot Nut-Kerr-Newman-Kasuya-AdS black holes (BHs). To accomplish this, we identify the critical points that play a crucial role in understanding the intricate structure of these BHs. We determine these critical points’ associated topological charges, providing important information about the underlying topology. Furthermore, we explore the concept of zero points and their corresponding winding numbers. These calculations allow us to evaluate the topological number associated with BHs and provide important information about their overall topological characteristics. One of the most important characteristics is the triple critical point. These points support the conjecture that the behavior of BHs undergoes significant transformations, presenting us with unique opportunities to observe and comprehend novel physical phenomena. A winding number of zero corresponds to a simple, connected horizon, while non-zero winding numbers indicate more complex topologies, such as multi-sheeted horizons. For comprehensive analysis, we fixed various parameters, such as the electric and magnetic charges and the electric and magnetic potentials. This approach allows us to isolate and examine specific aspects of BH topology.