Phase transitions and thermodynamic properties of the reissner-nordström black hole in (n + 1) dimensional spacetime
DOI:
https://doi.org/10.56764/hpu2.jos.2025.4.03.97-104Abstract
This study investigates the thermodynamic properties and phase transitions of charged Reissner-Nordström Anti-de Sitter black holes in (n + 1) -dimensional spacetime. The analysis is conducted within the framework of extended phase space thermodynamics, where the cosmological constant is treated as a dynamic pressure. We first derived analytical expressions for key thermodynamic quantities, then performed numerical calculations to explore the phase structure. Our analysis confirms a critical point and a first-order, liquid-gas-like phase transition analogous to the van der Waals system. A key finding is that the spatial dimension n significantly influences the critical parameters; black holes in higher dimensions exhibit higher temperatures and pressures in corresponding states. This work extends the well-known four-dimensional analogy to arbitrary dimensions, offering a more generalized perspective on black hole thermodynamics that is crucial for testing the universality of these phenomena and for higher-dimensional models in fundamental physics.
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Copyright (c) 2025 Van-Quyet Hoang, Khanh-Linh Nguyen, Thi-Trang Nguyen
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