Black holes thermodynamics to all orders in the Planck length in extra dimensions

Abstract

We investigate the effects to all orders in the Planck length, from a generalized uncertainty principle, on the thermodynamic parameters of radiating Schwarzschild black holes in a scenario with large extra dimesions. We show that black holes in this framework are hotter, decay faster and are less classical objects. Particularly, we show that the final stage of the radiation process is a black hole remnant with zero entropy, zero heat capacity and non zero finite temperature. We finally compare our results with the ones obtained in the standard Hawking picture and with the generalized uncertainty principle to leading order in the Planck length.

arXiv comment21 pages, 6 figures, 1 table; Figure 2 replaced and section 4 improved

References in corpus (74)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Quantum gravity and minimum length
• A Generalized Uncertainty Principle in Quantum Gravity
• Black Holes at the LHC
• High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
• 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
• Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
• Logarithmic correction to the Bekenstein-Hawking entropy
• The algebraic structure of the generalized uncertainty principle
• Quantum Groups, Gravity, and the Generalized Uncertainty Principle
• Classical Black Hole Production in High-Energy Collisions
• Black Holes and Sub-millimeter Dimensions
• Black Holes in Theories with Large Extra Dimensions: a Review
• Minimal Length Uncertainty Relation and Ultraviolet Regularisation
• Black Holes Radiate Mainly on the Brane
• An Introduction to Noncommutative Spaces and their Geometry
• Feynman Path Integral on the Noncommutative Plane
• Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
• Quantum-corrected black hole thermodynamics to all orders in the Planck length
• Black hole and brane production in TeV gravity: A review
• Black hole formation in the grazing collision of high-energy particles
• Instability of Spacelike and Null Orbifold Singularities
• Black Hole Remnants and Dark Matter
• UV divergence-free QFT on noncommutative plane
• Will we observe black holes at LHC?
• (Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle
• 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
• Interpretation of Quantum Field Theories with a Minimal Length Scale
• Universal canonical black hole entropy
• How classical are TeV-scale black holes?
• Black Holes from Colliding Wavepackets
• On Hawking Radiation as Tunneling with Logarithmic Corrections
• Self-consistency in Theories with a Minimal Length
• Spin-2 fields on Minkowski space near space-like and null infinity
• Trans-Planckian Effects in Inflationary Cosmology and the Modified Uncertainty Principle
• Thermal Fluctuations and Black Hole Entropy
• A comment on black hole entropy or does Nature abhor a logarithm?
• Black hole production and Large Extra Dimensions
• Running Coupling with Minimal Length
• Modified dispersion relations and black hole physics
• Black Hole Remnants at the LHC
• Generalized Uncertainty Principle, Modified Dispersion Relations and Early Universe Thermodynamics
• Quasi Stable Black Holes at the Large Hadron Collider
• Inflation Induced Planck-Size Black Hole Remnants As Dark Matter
• Black Hole Production at LHC: String Balls and Black Holes from pp and Lead-lead Collisions
• Entropy Corrections for Schwarzschild and Reissner-Nordström Black Holes
• Black Hole Evaporation and Compact Extra Dimensions
• Black Hole Production in Particle Collisions and Higher Curvature Gravity
• Mass and charge fluctuations and black hole entropy
• Suppressed Black Hole Production from Minimal Length
• Trans-Planckian Physics and the Spectrum of Fluctuations in a Bouncing Universe
• Black Hole Chromosphere at the LHC
• Hawking radiation of nonsingular black holes in two dimensions
• Black hole multiplicity at particle colliders (Do black holes radiate mainly on the brane?)
• Black hole, string ball, and p-brane production at hadronic supercolliders
• High-Order Corrections to the Entropy and Area of Quantum Black Holes
• Logarithmic corrections to three-dimensional black holes and de Sitter spaces
• Black Hole Production in Large Extra Dimensions at the Tevatron: Possibility for a First Glimpse on TeV Scale Gravity
• Dynamics of Black Hole Formation in an Exactly Solvable Model
• Quantum-Corrected Black Hole Thermodynamics in Extra Dimensions
• Testing Quantum Gravity via Cosmogenic Neutrino Oscillations
• Noncommutative and Non-Anticommutative Quantum Field Theory
• Effects of CPT and Lorentz Invariance Violation on Pulsar Kicks
• A follow-up to 'Does Nature abhor a logarithm?' (and apparently she doesn't)
• Production of Black Holes in TeV-Scale Gravity

Cited by in corpus (36)

• Gravitational tests of the Generalized Uncertainty Principle
• GUP parameter from quantum corrections to the Newtonian potential
• Uncertainty Relation on World Crystal and its Applications to Micro Black Holes
• Black hole thermodynamics with generalized uncertainty principle
• Lorentz violation and generalized uncertainty principle
• Horizon wave-function for single localized particles: GUP and quantum black hole decay
• Black Hole Remnants in the Early Universe
• 30 years in: Quo vadis generalized uncertainty principle?
• GUP parameter and black hole temperature
• Charged rotating black holes coupled with nonlinear electrodynamics Maxwell field in the mimetic gravity
• Thermodynamical correspondence of $f(R)$ gravity in Jordan and Einstein frames
• New rotating black holes in non-linear Maxwell $f(\mathcal{R})$ gravity
• Generalized uncertainty principle and Asymptotic Safe gravity
• Thermodynamics of the Schwarzschild and Reissner-Nordström black holes under higher-order generalized uncertainty principle
• Glimpses on the micro black hole Planck phase
• Scale--dependent Hayward black hole and the generalized uncertainty principle
• Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes
• Rotating and non-rotating AdS black holes in $f(\mathcal{T})$ gravity non-linear electrodynamics
• Horizon Quantum Mechanics: a hitchhiker's guide to quantum black holes
• Non-commutative effects on gravitational measurements
• Maximally localized states and quantum corrections of black hole thermodynamics in the framework of a new generalized uncertainty principle
• Multi-horizons black hole solutions, photon sphere and perihelion shift in weak ghost-free Gauss-Bonnet theory of gravity
• Entropy of the Randall-Sundrum black brane world to all orders in the Planck length
• Quadratic and cubic spherically symmetric black holes in the modified teleparallel equivalent of general relativity: Energy and thermodynamics
• Search for Primordial Black Holes with SGARFACE
• Minimum length, extra dimensions, modified gravity and black hole remnants
• Gravitational measurements in higher dimensions
• Quantum Cosmology with Dynamical Vacuum in a Minimal-Length Scenario
• Neutrino spin oscillations in gravitational fields in higher dimensions
• An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field
• The general expression for $f(T)$ in a charged cylindrical spacetime with diverse dimensions
• Corrections to the thermodynamic quantities of Bose system by the generalized uncertainty principle
• Exact charged black hole solutions in D-dimensions in f(R) gravity
• Charged spherically symmetric Taub-NUT black hole solutions in $f(R)$ gravity
• Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric
• Black holes solutions in power-law Maxwell-$f(T)$ gravity in diverse dimensions