The extended uncertainty principle effects on the phase transitions of Reissner-Nordström and Schwarzschild black holes

Abstract

In this paper, we investigate the phase transitions of Reissner-Nordström (RN) and Schwarzschild black holes for the extended uncertainty principle (EUP) framework. Considering temperature $T$, charge $Q$ and electric potential $\Phi$ as the state parameters, we show the van der Waals (vdW) like phase transition of RN black hole in $Q-\Phi$ diagrams and find the critical points depending on EUP parameter $\alpha$. Furthermore, we find Hawking-Page like phase transition for Schwarzschild black hole. The results imply that the black holes in asymptotically flat space have the similar phase structure with the black holes in anti-de Sitter (AdS) space.

11 pages, 6 figures

References in corpus (10)

• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• Effects of dark energy on P-V criticality of charged AdS black holes
• Quantum Gravity and Recovery of Information in Black Hole Evaporation
• Thermodynamics and Van der Waals Phase Transition of Charged Black Holes in Flat Space via Rényi Statistics
• Modified dispersion relations and (A)dS Schwarzschild Black holes
• Thermodynamics of the Schwarzschild and Reissner-Nordström black holes under higher-order generalized uncertainty principle
• Effect of the modified Heisenberg algebra on the Black hole thermodynamics
• How does the Planck scale affect qubits?
• Effects of global monopole on critical behaviors and microstructure of charged AdS black holes

Cited by in corpus (7)

• GUP-corrected black holes: Thermodynamic properties, evaporation time and shadow constraint from EHT Observations of M87* and Sgr A*
• Investigation of generalised uncertainty principle effects on FRW cosmology
• Extended Uncertainty Principle: A Deeper Insight into the Hubble Tension?
• Van der Waals Black Holes: Universality, Quantum Corrections, and Topological Classifications
• Infrared Extended Uncertainty Principle Corrections and Quintessence-Induced Topology of Reissner-Nordström AdS Black Holes
• Friedmann equations from GUP-modified equipartition law
• From MOND entropy to extended uncertainty principles: A unified framework