Black hole thermodynamics with generalized uncertainty principle

Abstract

In the standard viewpoint, the temperature of a stationary black hole is proportional to its surface gravity, $T_H=\hslash \kappa /2\pi$. This is a semiclassical result and the quantum gravity effects are not taken into consideration. This Letter explores a unified expression for the black hole temperature in the sense of a generalized uncertainty principle(GUP). Our discussion involves a heuristic analysis of a particle which is absorbed by the black hole. Besides a class of static and spherically symmetric black holes, an axially symmetric Kerr-Newman black hole is considered. Different from the existing literature, we suggest that the black hole's irreducible mass represent the characteristic size in the absorption process. The information capacity of a remnant is also discussed by Bousso's D-bound in de Sitter spacetime.

18 pages, great improvement on the first version; a Kerr-Newman black hole is considered

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Cited by in corpus (63)

• Minimal Length Scale Scenarios for Quantum Gravity
• Natural Cutoffs and Quantum Tunneling from Black Hole Horizon
• GUP-Corrected Thermodynamics for all Black Objects and the Existence of Remnants
• Observing remnants by fermions' tunneling
• Effects of quantum gravity on black holes
• Remnants, fermions' tunnelling and effects of quantum gravity
• 30 years in: Quo vadis generalized uncertainty principle?
• Fermion's tunnelling with effects of quantum gravity
• Entropy Conservation of Linear Dilaton Black Holes in Quantum Corrected Hawking Radiation
• Black Hole Entropy with minimal length in Tunneling formalism
• Hawking radiation from cubic and quartic black holes via tunneling of GUP corrected scalar and fermion particles
• Thermodynamics and evaporation of a modified Schwarzschild black hole in a non--commutative gauge theory
• Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes
• Thermodynamics of the Schwarzschild and Reissner-Nordström black holes under higher-order generalized uncertainty principle
• Remarks on remnants by fermions' tunnelling from black strings
• Gravitational traces of bumblebee gravity in metric-affine formalism
• Quasinormal modes and thermodynamic properties of GUP-corrected Schwarzschild black hole surrounded by quintessence
• Observational Tests of the Generalized Uncertainty Principle: Shapiro Time Delay, Gravitational Redshift, and Geodetic Precession
• Quantum Mechanical Corrections to the Schwarzschild Black Hole Metric
• EUP-corrected thermodynamics of BTZ black hole
• Quantum theory of the Generalised Uncertainty Principle
• GUP-corrected black holes: Thermodynamic properties, evaporation time and shadow constraint from EHT Observations of M87* and Sgr A*
• Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow
• Quantum tunneling from high dimensional Gödel black hole
• Modified Friedmann equations from DSR-GUP
• Effect of GUP on Hawking radiation of BTZ black hole
• Investigation of generalised uncertainty principle effects on FRW cosmology
• GUP-Corrected van der Waals Black Holes
• Barrow black holes and the minimal length
• Higher-order generalized uncertainty principle applied to gravitational baryogenesis
• Quantum Gravity Effects On Charged Micro Black Holes Thermodynamics
• Maximally localized states and quantum corrections of black hole thermodynamics in the framework of a new generalized uncertainty principle
• The extended uncertainty principle effects on the phase transitions of Reissner-Nordström and Schwarzschild black holes
• Investigating bounds on the extended uncertainty principle metric through astrophysical tests
• Bouncing universe with modified dispersion relation
• EGUP corrected thermodynamics of RN-AdS black hole with quintessence matter
• Charged fermions tunneling from stationary axially symmetric black holes with generalized uncertainty principle
• Noncommutative spaces and covariant formulation of statistical mechanics
• Van der Waals Black Holes: Universality, Quantum Corrections, and Topological Classifications
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• Minimum length, extra dimensions, modified gravity and black hole remnants
• Entropy bound for the photon gas in noncommutative spacetime
• Microstructure of Charged AdS Black Hole with Minimal Length Effects
• The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis
• Extended uncertainty principle and Van der Waals black holes
• Black Holes Thermodynamics in a new kind of Noncommutative Geometry
• Thermodynamic phase transition of a Schwarzschild black hole with global monopole under GUP
• Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework
• Infrared Extended Uncertainty Principle Corrections and Quintessence-Induced Topology of Reissner-Nordström AdS Black Holes
• The gravitational baryogenesis and a new higher-order extended uncertainty principle with parameter adaptability for the minimum length
• Tidal effects based on GUP-induced effective metric
• Removing the divergence of Chandrasekhar limit caused by generalized uncertainty principle
• Variations in the fine structure constant constraining gravity theories
• Thermodynamic modifications to Bardeen black holes surrounded by quintessence based on the new higher order GUP
• GUP corrections to black hole thermodynamics in the extended phase space approach
• Phase transitions of GUP-corrected charged AdS black hole
• Dimensionally-dependent uncertainty relations, or why we (probably) won't see micro-black holes at the LHC, even if large extra dimensions exist
• Emergent GUP from Modified Hawking Radiation in Einstein-NED Theory
• Natural Cutoffs effect on Charged Rotating TeV-Scale Black Hole Thermodynamics
• One-dimension quantum systems in the framework of the most general deformation GUP form
• Scalar particles tunneling radiation in the Demianski-Newman spacetime with influences of quantum gravity
• Analysis of black hole thermodynamics under Generalized uncertainty principle from the doubly special relativity
• Maximally localized states and quantum corrections of black hole thermodynamics in the extreme case with an improved exponential GUP