Quantum-corrected black hole thermodynamics to all orders in the Planck length

Abstract

We investigate the effects to all orders in the Planck length from a generalized un- certainty principle (GUP) on black holes thermodynamics. We calculate the corrected Hawking temperature, entropy, and examine in details the Hawking evaporation process. As a result, the evaporation process is accelerated and the evaporation end-point is a zero entropy, zero heat capacity and finite non zero temperature black hole remnant (BHR). In particular we obtain a drastic reduction of the decay time, in comparison with the results obtained in the Hawking semi classical picture and with the GUP to leading order in the Planck length.

arXiv comment20 pages, 4 figures, 2 tables, Latex

References in corpus (45)

• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Quantum gravity and minimum length
• A Generalized Uncertainty Principle in Quantum Gravity
• Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
• Noncommutative geometry inspired Schwarzschild black hole
• The Generalized Uncertainty Principle and Black Hole Remnants
• Logarithmic correction to the Bekenstein-Hawking entropy
• The algebraic structure of the generalized uncertainty principle
• Quantum Groups, Gravity, and the Generalized Uncertainty Principle
• General Logarithmic Corrections to Black Hole Entropy
• Black Holes in Theories with Large Extra Dimensions: a Review
• Minimal Length Uncertainty Relation and Ultraviolet Regularisation
• An Introduction to Noncommutative Spaces and their Geometry
• When conceptual worlds collide: The GUP and the BH entropy
• Feynman Path Integral on the Noncommutative Plane
• Black Hole Production by Cosmic Rays
• Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
• Black hole and brane production in TeV gravity: A review
• UV divergence-free QFT on noncommutative plane
• Black Hole Remnants and Dark Matter
• (Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle
• Severe constraints on Loop-Quantum-Gravity energy-momentum dispersion relation from black-hole area-entropy law
• Collider versus Cosmic Ray Sensitivity to Black Hole Production
• Cosmic Rays as Probes of Large Extra Dimensions and TeV Gravity
• A model of radiating black hole in noncommutative geometry
• Universal canonical black hole entropy
• Interpretation of Quantum Field Theories with a Minimal Length Scale
• How classical are TeV-scale black holes?
• On Hawking Radiation as Tunneling with Logarithmic Corrections
• Self-consistency in Theories with a Minimal Length
• Black Holes at Neutrino Telescopes
• Thermal Fluctuations and Black Hole Entropy
• A comment on black hole entropy or does Nature abhor a logarithm?
• Inflation Induced Planck-Size Black Hole Remnants As Dark Matter
• Entropy Corrections for Schwarzschild and Reissner-Nordström Black Holes
• Mass and charge fluctuations and black hole entropy
• On Black Hole Detection with the OWL/Airwatch Telescope
• High-Order Corrections to the Entropy and Area of Quantum Black Holes
• Logarithmic corrections to three-dimensional black holes and de Sitter spaces
• Black Holes at Future Colliders and in Cosmic Rays
• Coherent States of Harmonic Oscillator and Generalized Uncertainty Principle
• Noncommutative and Non-Anticommutative Quantum Field Theory
• Brane-Production and the Neutrino-Nucleon cross section at Ultra High Energies in Low Scale Gravity Models
• A follow-up to 'Does Nature abhor a logarithm?' (and apparently she doesn't)
• Tests of Quantum Gravity via Generalized Uncertainty Principle

Cited by in corpus (96)

• Black Hole Remnants and the Information Loss Paradox
• A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum
• GUP Modified Hawking Radiation in Bumblebee Gravity
• A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum II: Applications
• Generalised Uncertainty Principle, Remnant Mass and Singularity Problem in Black Hole Thermodynamics
• Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP
• GUP-Corrected Thermodynamics for all Black Objects and the Existence of Remnants
• Quantum gravitational decoherence from fluctuating minimal length and deformation parameter at the Planck scale
• Thermodynamics of a class of regular black holes with a generalized uncertainty principle
• Quantum Gravity and Recovery of Information in Black Hole Evaporation
• Entropy of the Schwarzschild black hole to all orders in the Planck length
• Shadow cast of non-commutative black holes in Rastall gravity
• Thermodynamics in Rastall Gravity with Entropy Corrections
• 30 years in: Quo vadis generalized uncertainty principle?
• Black holes thermodynamics to all orders in the Planck length in extra dimensions
• Generalized Uncertainty Principle in three-dimensional gravity and the BTZ black hole
• New generalized uncertainty principle from the doubly special relativity
• Singular inverse square potential in arbitrary dimensions with a minimal length: Application to the motion of a dipole in a cosmic string background
• Dunkl-Klein-Gordon equation in three-dimensions: The Klein-Gordon oscillator and Coulomb Potential
• Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes
• Generalized uncertainty principle with maximal observable momentum and no minimal length indeterminacy
• Bardeen regular black hole as a quantum-corrected Schwarzschild black hole
• Thermodynamics of the Reissner-Nordström black hole with quintessence matter on the EGUP framework
• Generalized uncertainty principle and Hořava-Lifshitz gravity
• PV criticality of Achucarro-Ortiz black hole in the presence of higher order quantum and GUP corrections
• Hubble tension bounds the GUP and EUP parameters
• Effect of the modified Heisenberg algebra on the Black hole thermodynamics
• Observational Tests of the Generalized Uncertainty Principle: Shapiro Time Delay, Gravitational Redshift, and Geodetic Precession
• Investigation of Unruh temperature of Black holes by using of EGUP formalism
• The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle
• Thermodynamics and Shadows of quantum-corrected Reissner-Nordström black hole surrounded by quintessence
• Influence of a Minimal Length on the Creation of Scalar Particles
• Entropy bound of local quantum field theory with generalized uncertainty principle
• Black hole thermodynamics in the presence of a maximal length and minimum measurable in momentum
• Geodesic Structure of the Quantum-Corrected Schwarzschild Black Hole Surrounded by Quintessence
• Polymeric Quantization and Black Hole Thermodynamics
• The minimal length: a cut-off in disguise?
• Interpretation of the Cosmological Constant Problem within the Framework of Generalized Uncertainty Principle
• Quantum-corrected two-dimensional Horava-Lifshitz black hole entropy
• A Critique on Some Aspects of GUP Effective Metric
• Thermodynamics of Reissner-Nordström Black Holes in Higher Dimensions: Rainbow Gravity Background With General Uncertainty Principle
• Entropy of (2+1)-dimensional de Sitter black hole to all orders in the Planck length
• New generalized uncertainty principle with parameter adaptability for the minimum length
• Entropy In The Present And Early Universe: New Small Parameters And Dark Energy Problem
• Spin operator, Bell nonlocality and Tsirelson bound in quantum-gravity induced minimal-length quantum mechanics
• Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow
• New higher-order generalized uncertainty principle: Applications
• Hawking evaporation cascade in presence of back reaction effect
• Generalized Uncertainty Principle mimicking dynamical Dark Energy: matter perturbations and gravitational wave data analysis
• The Quantum Field Theory Boundaries Applicability and Black Holes Thermodynamics
• Quantum corrected thermodynamics and $P-V$ criticality of self-gravitating Skyrmion black holes
• Investigation of generalised uncertainty principle effects on FRW cosmology
• Barrow black holes and the minimal length
• Maximally localized states and quantum corrections of black hole thermodynamics in the framework of a new generalized uncertainty principle
• Influence of the dispersion relation on the Unruh effect according to the relativistic Doppler shift method
• Generalized Extended Uncertainty Principles, Liouville theorem and density of states: Snyder-de Sitter and Yang models
• Modified clock inequalities and modified black hole lifetime
• Entropy, temperature and internal energy of trapped gravitons and corrections to the Black Hole entropy
• Thermodynamics of Bardeen regular black hole with generalized uncertainty principle
• A framework for nonrelativistic isotropic models based on generalized uncertainty principles
• Entropy of the Randall-Sundrum black brane world to all orders in the Planck length
• The fragmentation instability of a black hole with $f(R)$ global monopole under GUP
• The tunneling radiation of a black hole with a $f(R)$ global monopole under generalized uncertainty principle
• Thermodynamic studies of Different Type of Black Holes: General Uncertainty Principle Approach
• Quantum Theory at Planck Scale, Limiting Values, Deformed Gravity and Dark Energy Problem
• A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound
• Microstructure of Charged AdS Black Hole with Minimal Length Effects
• Entropy of Kerr-Newman black hole to all orders in the Planck length
• GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity
• Quantum Cosmology with Dynamical Vacuum in a Minimal-Length Scenario
• Position and momentum uncertainties of a particle in a V-shaped potential under the minimal length uncertainty relation
• The Influence of Approximation in Generalized Uncertainty Principle on Black Hole Evaporation
• Thermodynamics of the most generalized form of Holographic Dark Energy and some particular cases with Corrected Entropies
• Entropy Bound with Generalized Uncertainty Principle in General Dimensions
• Deformed Quantum Field Theory, Thermodynamics at Low and High Energies, and Gravity. I
• Tidal effects based on GUP-induced effective metric
• Friedmann equations from GUP-modified equipartition law
• Distribution of Entropy of Bardeen Regular Black Hole with Corrected State Density
• Removing the divergence of Chandrasekhar limit caused by generalized uncertainty principle
• Finite Temperature Considerations in the Structure of Quadratic GUP-modified White Dwarfs
• Phase transitions of GUP-corrected charged AdS black hole
• Generalized Uncertainty Principle: from the harmonic oscillator to a QFT toy model
• The tunneling radiation of Kehagias-Sfetsos black hole under generalized uncertainty principle
• Higher order GUP black hole based on COW experiment and Einstein-Bohr's photon box
• Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric
• Finite Hilbert space and maximum mass of Schwarzschild black holes from a Generalized Uncertainty Principle
• From minimal-length quantum theory to modified gravity
• Quantum-Corrected Thermodynamics of Conformal Weyl Gravity Black Holes: GUP Effects and Phase Transitions
• Energy-time uncertainty relation from entropy measures
• Van der Waals black holes in rainbow gravity
• The Black Hole Quantum Entropy and Its Minimal Value
• Maximally localized states and quantum corrections of black hole thermodynamics in the extreme case with an improved exponential GUP
• Analysis of black hole thermodynamics under Generalized uncertainty principle from the doubly special relativity
• Thermodynamics of Einstein-Gauss-Bonnet Black Holes under the Generalized Uncertainty Principle
• From MOND entropy to extended uncertainty principles: A unified framework
• Revisiting the algebraic structure of the generalized uncertainty principle