EUP-corrected thermodynamics of BTZ black hole

Abstract

In this manuscript, we investigate the influence of the extended uncertainty principle (EUP) on the thermodynamics of a charged rotating Bañados, Teitelboim and Zanelli (BTZ) black hole in (2+1)-dimensional anti-de Sitter (AdS) and de Sitter (dS) space-time, respectively. We find that EUP-corrected Hawking temperature, entropy, volume, Gibbs free energy, pressure, and heat capacity functions have different characteristic behaviors in (A)dS space-time. During the detailed analysis, we obtain a critical horizon in the AdS space-time where the pressure has a non-zero minimum value. However, in the dS space-time, we cannot achieve such a minimum pressure value. Instead, there is a "cut point" where the pressure becomes zero. We show that after that horizon value the black hole becomes unstable, with negative pressure which leads to the collapse of the black hole.

arXiv comment9 pages, 2 Tables, 6x2 Figures

References in corpus (41)

• The Black Hole in Three Dimensional Space Time
• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Enthalpy and the Mechanics of AdS Black Holes
• The Thermodynamics of Black Holes
• Discreteness of Space from the Generalized Uncertainty Principle
• The (2+1)-Dimensional Black Hole
• On Gravity and the Uncertainty Principle
• When conceptual worlds collide: The GUP and the BH entropy
• Black Hole Thermodynamics
• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• Black Hole Remnants and Dark Matter
• (Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle
• Natural extension of the Generalised Uncertainty Principle
• Relating black holes in two and three dimensions
• Six easy roads to the Planck scale
• Extended uncertainty principle and the geometry of (anti)-de Sitter space
• Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
• Black hole thermodynamics with generalized uncertainty principle
• Remarks on Hawking radiation as tunneling from the BTZ black holes
• Lower-Dimensional Black Hole Chemistry
• Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP
• Bardeen black hole chemistry
• Charged BTZ black holes in the context of massive gravity's rainbow
• Gravitational Uncertainty and Black Hole Remnants
• Extended Uncertainty Principle Black Holes
• Thermodynamic stability of charged BTZ black holes: Ensemble dependency problem and its solution
• BTZ black holes in massive gravity
• BTZ black holes inspired by noncommutative geometry
• Canonical entropy of three-dimensional BTZ black hole
• Quantum Tunneling from the Charged Non-Rotating BTZ Black Hole with GUP
• GUP-Corrected Black Hole Thermodynamics and the Maximum Force Conjecture
• Effect of the modified Heisenberg algebra on the Black hole thermodynamics
• Black hole thermodynamics is extensive with variable Newton constant
• Investigation of Unruh temperature of Black holes by using of EGUP formalism
• Topological approach to derive the global Hawking temperature of (massive) BTZ black hole
• Black hole thermodynamics in the presence of a maximal length and minimum measurable in momentum
• Noncommutative correction to the entropy of BTZ black hole with GUP
• Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow
• Three dimensional dilatonic gravity's rainbow: exact solutions
• Effect of GUP on Hawking radiation of BTZ black hole
• Investigation the geodesic motion of three dimensional rotating black holes

Cited by in corpus (14)

• Thermodynamics and Shadows of GUP-corrected Black Holes with Topological Defects in Bumblebee Gravity
• Generalized Extended Uncertainty Principle Black Holes: Shadow and lensing in the macro- and microscopic realms
• Noncommutative Schwarzschild black hole surrounded by quintessence: Thermodynamics, Shadows and Quasinormal modes
• Thermodynamics and Shadows of quantum-corrected Reissner-Nordström black hole surrounded by quintessence
• Thermodynamic Properties of Schwarzschild Black Hole in Non-Commutative Gauge Theory of Gravity
• Spacetime-curvature induced uncertainty principle: linking the large-structure global effects to the local black hole physics
• Constraining a one-dimensional wave-type gravitational wave parameter through the shadow of M87* via Event Horizon Telescope
• Black Hole Thermodynamics in Harada's inspired theory of gravity: Stability, Phase Structure and Geometrothermodynamics
• Extended uncertainty principle and Van der Waals black holes
• Schwarzschild black hole surrounded by a cavity and phase transition in the non-commutative gauge theory of gravity
• Charged rotating BTZ solution revisited: New coordinates and algebraic classifications
• The ideal gas of Bosons and Fermions in Harmonic Traps in the framework of Extended Uncertainty Principle
• Van der Waals black holes in rainbow gravity
• Phenomenology of Schwarzschild-like Black Holes with a Generalized Compton Wavelength