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.

arXiv comment11 pages, 6 figures

References in corpus (46)

• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• P-V criticality of charged AdS black holes
• A Generalized Uncertainty Principle in Quantum Gravity
• Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
• Black hole chemistry: thermodynamics with Lambda
• The Generalized Uncertainty Principle and Black Hole Remnants
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Kerr-AdS analogue of triple point and solid/liquid/gas phase transition
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
• Rényi entropy and the thermodynamic stability of black holes
• Critical Phenomena and Thermodynamic Geometry of RN-AdS Black Holes
• Minimal length, maximal momentum and Hilbert space representation of quantum mechanics
• (Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle
• On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes
• P-V Criticality of Topological Black Holes in Lovelock-Born-Infeld Gravity
• Effects of dark energy on P-V criticality of charged AdS black holes
• New type of phase transition in Reissner Nordström - AdS black hole and its thermodynamic geometry
• Corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
• Quantum corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
• Black hole thermodynamics with generalized uncertainty principle
• Reentrant phase transitions and van der Waals behaviour for hairy black holes
• Generalised Uncertainty Principle, Remnant Mass and Singularity Problem in Black Hole Thermodynamics
• Phase Transitions and Critical Behavior for Charged Black Holes
• Natural Cutoffs and Quantum Tunneling from Black Hole Horizon
• Analytical and exact critical phenomena of $d$-dimensional singly spinning Kerr-AdS black holes
• Quantum Gravity and Recovery of Information in Black Hole Evaporation
• Extended Uncertainty Principle Black Holes
• Glassy Phase Transition and Stability in Black Holes
• Ehrenfest's scheme and thermodynamic geometry in Born-Infeld AdS black holes
• Thermodynamics and Van der Waals Phase Transition of Charged Black Holes in Flat Space via Rényi Statistics
• Generalised uncertainty relations from superpositions of geometries
• New generalized uncertainty principle from the doubly special relativity
• Modified dispersion relations and (A)dS Schwarzschild Black holes
• The extended uncertainty principle inspires the Rényi entropy
• Thermodynamics of the Schwarzschild and Reissner-Nordström black holes under higher-order generalized uncertainty principle
• Glimpses on the micro black hole Planck phase
• Generalised uncertainty relations for angular momentum and spin in quantum geometry
• Effect of the modified Heisenberg algebra on the Black hole thermodynamics
• $Q-\Phi$ criticality in the extended phase space of $(n+1)$-dimensional RN-AdS black holes
• $Q$-$\Phi$ criticality and microstructure of charged AdS black holes in $f(R)$ gravity
• GUP-Corrected van der Waals Black Holes
• How does the Planck scale affect qubits?
• Hawking temperature for various kinds of black holes from Heisenberg uncertainty principle
• 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