Speaker
Description
This work delves into a comprehensive examination of the phase portrait and critical characteristics of a specific type of black hole solution, namely the Kerr-Newman-anti-de Sitter black hole. Our study takes into account the presence of two sources of energy. By considering the cosmological constant as an analog of thermodynamic pressure, we elucidate the essential methodologies employed to obtain the mathematical representations of crucial thermodynamic quantities. By incorporating a suitable analytical approximation for the rotation parameter "a" in relation to all significant parameters, we aim to enhance the accuracy of our analysis. Diagrams are derived within the reduced parameter space, demonstrating their reliance on the parameters associated with quintessence and the cloud of strings. The examination of these diagrams yields the result that the inclusion of a cloud of strings and quintessence around a charged rotating Ads-black hole does not affect the existence of the small-large black hole phase transition. Hence, it can be concluded that these additional sources of energy do not alter the fundamental nature of the phase transition in this system. As a result, black holes exhibit a phase transition resembling the behavior observed in van der Waals fluids.
