Quantum corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle

Abstract

We investigate the thermodynamics of the Schwarzschild-Tangherlini black hole in the context of the generalized uncertainty principle (GUP). The corrections to the Hawking temperature, entropy and the heat capacity are obtained via the modified Hamilton-Jacobi equation. These modifications show that the GUP changes the evolution of the Schwarzschild-Tangherlini black hole. Specially, the GUP effect becomes susceptible when the radius or mass of the black hole approaches the order of Planck scale, it stops radiating and leads to black hole remnant. Meanwhile, the Planck scale remnant can be confirmed through the analysis of the heat capacity. Those phenomena imply that the GUP may give a way to solve the information paradox. Besides, we also investigate the possibilities to observe the black hole at the Large Hadron Collider (LHC), and the results demonstrate that the black hole cannot be produced in the recent LHC.

12 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:1512.09219

References in corpus (28)

• Universality of Quantum Gravity Corrections
• Discreteness of Space from the Generalized Uncertainty Principle
• Fermions Tunnelling from Black Holes
• Black Hole Bound on the Number of Species and Quantum Gravity at LHC
• Temporal contribution to gravitational WKB-like calculations
• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• Hawking radiation of Dirac particles via tunnelling from rotating black holes in de Sitter spaces
• Natural extension of the Generalised Uncertainty Principle
• Subtleties in the quasi-classical calculation of Hawking radiation
• Black hole thermodynamics with generalized uncertainty principle
• Thermal radiation of various gravitational backgrounds
• Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
• Remnant for all Black Objects due to Gravity's Rainbow
• Absence of Black Holes at LHC due to Gravity's Rainbow
• Minimal Length in Quantum Gravity, Equivalence Principle and Holographic Entropy Bound
• Problems with Tunneling of Thin Shells from Black Holes
• Physics on Smallest Scales - An Introduction to Minimal Length Phenomenology
• Quantum Gravity and Recovery of Information in Black Hole Evaporation
• Remnants of Black Rings from Gravity's Rainbow
• Effects of quantum gravity on black holes
• Semiclassical corrections to black hole entropy and the generalized uncertainty principle
• Black hole emission of vector particles in (1+1) dimensions
• Generalized Uncertainty Principle: Implications for Black Hole Complementarity
• Nonlocal and generalized uncertainty principle black holes
• Entropic corrected Newton's law of gravitation and the Loop Quantum Black Hole gravitational atom
• Quantum walk on a spin network
• Quantum gravity corrections to the tunneling radiation of scalar particles
• Bi-conformal symmetry and static Green functions in the Schwarzschild-Tangherlini spacetimes

Cited by in corpus (67)

• Constraining the generalized uncertainty principle with the gravitational wave event GW150914
• Thermodynamic phase transition of a black hole in rainbow gravity
• 30 years in: Quo vadis generalized uncertainty principle?
• Thermodynamics and Shadows of GUP-corrected Black Holes with Topological Defects in Bumblebee Gravity
• The Hawking effect and the bounds on greybody factor for higher dimensional Schwarzschild black holes
• Massive vector particles tunneling from black holes influenced by the generalized uncertainty principle
• Quantum-corrected scattering and absorption of a Schwarzschild black hole with GUP
• Derivations of group rings
• Thermodynamics of Higher Order Entropy Corrected Schwarzschild-Beltrami-de Sitter Black Hole
• Probing the Lorentz Invariance Violation via Gravitational Lensing and Analytical Eigenmodes of Perturbed Slowly Rotating Bumblebee Black Holes
• PV criticality of Achucarro-Ortiz black hole in the presence of higher order quantum and GUP corrections
• Observational Tests of the Generalized Uncertainty Principle: Shapiro Time Delay, Gravitational Redshift, and Geodetic Precession
• Fermions tunneling from higher-dimensional charged AdS black hole in dRGT massive gravity within modified dispersion relation
• Rainbow gravity corrections to the information flux of a black hole and the sparsity of Hawking radiation
• Noncommutative correction to the entropy of Schwarzschild black hole with GUP
• Thermodynamic Phase Transition and global stability of the Regular Hayward Black hole Surrounded by Quintessence
• The generalized uncertainty principle effect in acoustic black holes
• Constraining the Generalized Uncertainty Principle with the light twisted by rotating black holes and M87*
• Violation of equivalence in an accelerating atom-mirror system in the generalized uncertainty principle framework
• Black hole thermodynamics and generalized uncertainty principle with higher order terms in momentum uncertainty
• New black-to-white hole solutions with improved geometry and energy conditions
• Modified Friedmann equations from DSR-GUP
• The Effects of Minimal Length, Maximal Momentum and Minimal Momentum in Entropic Force
• Modified Hawking radiation of stationary and nonstationary Kerr-Newman-de Sitter black hole
• The GUP effect on tunnelling of massive vector bosons from the 2+1 dimensional black hole
• Joule-Thomson expansion of higher dimensional nonlinearly charged AdS black hole in Einstein-PMI gravity
• Investigation of generalised uncertainty principle effects on FRW cosmology
• Effect of GUP on Hawking radiation of BTZ black hole
• Barrow black holes and the minimal length
• Higher order quantum corrections of rotating BTZ black hole
• GUP-Corrected van der Waals Black Holes
• Higher-order generalized uncertainty principle corrections to the Jeans mass
• A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas
• Higher-order generalized uncertainty principle applied to gravitational baryogenesis
• On the difference between Poincaré and Lorentz gravity
• The extended uncertainty principle effects on the phase transitions of Reissner-Nordström and Schwarzschild black holes
• Phase structures and critical behaviour of rational non-linear electrodynamics AdS black holes in Rastall gravity
• Constraining the generalized uncertainty principle with neutron interferometry
• The thermodynamics and phase transition of a rainbow black hole
• Hawking radiation of Dirac monopoles from the global monopole black hole with quantum gravity effects
• The generalized uncertainty principle impact onto the black hole thermodynamic phase transition
• Hawking radiation and entropy of a BTZ black hole with minimum length
• Building a linear equation of state for trapped gravitons from finite size effects and the Schwarzschild black hole case
• Entropy of higher-dimensional charged de Sitter black holes and phase transition
• Analyzing the effect of higher dimensions on the black hole silhouette, deflection angles, and PINN approximated quasinormal modes
• Tunneling of Hawking radiation for BTZ black hole revisited
• Dirac equation of spin particles and tunneling radiation from a Kinnersly black
• The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis
• Hawking radiation of massive bosons via tunneling from black strings
• Traces of quantum fuzziness on the black hole shadow and particle deflection in the multi-fractional theory of gravity
• Scattering and absorption by extra-dimensional black holes with GUP
• Schwarzschild black hole surrounded by a cavity and phase transition in the non-commutative gauge theory of gravity
• First-order correction of tunneling and entropy in the Horndeski gravity-like hairy black hole
• Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework
• The gravitational baryogenesis and a new higher-order extended uncertainty principle with parameter adaptability for the minimum length
• Kinetic energy properties and weak equivalence principle in a space with GUP
• Hawking radiation of scalar particles and fermions from squashed Kaluza-Klein black holes based on a generalized uncertainty principle
• Friedmann equations from GUP-modified equipartition law
• Thermodynamics and Phase transition of Schwarzschild black hole in Gravity's Rainbow
• Quantum tunneling driven by quintessence and the role of GUP
• Remark on Remnant and Residue Entropy with GUP
• Phase transitions of GUP-corrected charged AdS black hole
• Corrections to the thermodynamic quantities of Bose system by the generalized uncertainty principle
• Uncertainty Principles and Non-local Black Holes
• Analysis of black hole thermodynamics under Generalized uncertainty principle from the doubly special relativity
• Bounds on Large Extra Dimensions from the Generalized Uncertainty Principle
• Corrections to the Black hole entropy from a Bose Einstein condensate: a semi-classical phenomenological approach