Geometric model of black hole quantum $N$-portrait, extradimensions and thermodynamics

Abstract

Recently a short scale modified black hole metric, known as holographic metric, has been proposed in order to capture the self-complete character of gravity. In this paper we show that such a metric can reproduce some geometric features expected from the quantum $N$-portrait beyond the semi-classical limit. We show that for a generic $N$ this corresponds to having an effective energy momentum tensor in Einstein equations or, equivalently, non-local terms in the gravity action. We also consider the higher dimensional extension of the metric and the case of an AdS cosmological term. We provide a detailed thermodynamic analysis of both cases, with particular reference to the repercussions on the Hawking-Page phase transition.

arXiv comment36 pages, 8 figures, invited paper to the special issue "Entropy in Quantum Gravity and Quantum Cosmology" edited by R. Garattini for the journal "Entropy", accepted for publication; v2 version matching that published on the journal

References in corpus (133)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Large N Limit of Superconformal Field Theories and Supergravity
• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Extended Theories of Gravity
• Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
• P-V criticality of charged AdS black holes
• Formation and evaporation of non-singular black holes
• Charged AdS Black Holes and Catastrophic Holography
• Enthalpy and the Mechanics of AdS Black Holes
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Bounds on Universal Extra Dimensions
• Black Holes at the LHC
• High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
• The fuzzball proposal for black holes: an elementary review
• The Bardeen Model as a Nonlinear Magnetic Monopole
• Noncommutative geometry inspired Schwarzschild black hole
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• The Generalized Uncertainty Principle and Black Hole Remnants
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• Soft Hair on Black Holes
• Towards singularity and ghost free theories of gravity
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Pressure and volume in the first law of black hole thermodynamics
• The cosmological constant and the black hole equation of state
• Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
• Super-renormalizable Quantum Gravity
• New Regular Black Hole Solution from Nonlinear Electrodynamics
• Renormalization group improved black hole spacetimes
• AdS/CFT duality and the black hole information paradox
• Black Holes and Sub-millimeter Dimensions
• Black Holes in Theories with Large Extra Dimensions: a Review
• Non-Singular Charged Black Hole Solution for Non-Linear Source
• The fuzzball proposal for black holes
• Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source
• Noncommutative geometry inspired charged black holes
• Black Hole Remnants and the Information Loss Paradox
• Loop quantum black hole
• Black Hole Production by Cosmic Rays
• Metric of the multiply wound rotating string
• Pair Creation of Black Holes During Inflation
• A Model for High Energy Scattering in Quantum Gravity
• Black hole and brane production in TeV gravity: A review
• Non-commutative geometry inspired higher-dimensional charged, black holes
• Compressibility of rotating black holes
• Search for resonances and quantum black holes using dijet mass spectra in proton-proton collisions at sqrt(s) = 8 TeV
• Charged rotating noncommutative black holes
• Black Hole's 1/N Hair
• Black holes in an ultraviolet complete quantum gravity
• Quasilocal Thermodynamics of Dilaton Gravity coupled to Gauge Fields
• Quantum Radiation from a 5-Dimensional Rotating Black Hole
• Hierarchy problem in the shell-Universe model
• Noncommutative geometry inspired dirty black holes
• Our World as an Expanding Shell
• AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
• Cosmological production of charged black hole pairs
• Nonlocal action for long-distance modifications of gravity theory
• Four Dimensionality in Non-compact Kaluza-Klein Model
• Six easy roads to the Planck scale
• Non-singular quantum-inspired gravitational collapse
• A model of radiating black hole in noncommutative geometry
• On Thermodynamics of AdS Black Holes in Arbitrary Dimensions
• Noncommutative Inspired Black Holes in Extra Dimensions
• Information Preservation and Weather Forecasting for Black Holes
• On a regular charged black hole with a nonlinear electric source
• "Kerrr" black hole: the Lord of the String
• Black Hole Formation and Classicalization in Ultra-Planckian 2 -> N Scattering
• Superrenormalizable gauge and gravitational theories
• Black Hole as a Point Radiator and Recoil Effect on the Brane World
• Physics of Trans-Planckian Gravity
• Where is the PdV term in the first law of black hole thermodynamics?
• Detecting Microscopic Black Holes with Neutrino Telescopes
• Black Holes at Neutrino Telescopes
• On the Effective Metric of a Planck Star
• Ultraviolet Complete Quantum Gravity
• A Critique of Pure String Theory: Heterodox Opinions of Diverse Dimensions
• Dark energy and dark matter from nonlocal ghost-free gravity theory
• Horizon wave-function for single localized particles: GUP and quantum black hole decay
• The Information Paradox for Black Holes
• Self-Completeness of Einstein Gravity
• Radiation from a collapsing object is manifestly unitary
• Self-Completeness and the Generalized Uncertainty Principle
• Cosmological production of noncommutative black holes
• Hawking emission from quantum gravity black holes
• Quantum Harmonic Black Holes
• TeV Mini Black Hole Decay at Future Colliders
• Quantum gravitational collapse: non-singularity and non-locality
• Dualities versus Singularities
• Quantum hoop conjecture: Black hole formation by particle collisions
• Super-accelerating bouncing cosmology in asymptotically-free non-local gravity
• A non-singular black hole model as a possible end-product of gravitational collapse
• The Hawking-Page crossover in noncommutative anti-deSitter space
• Classical Limit of Black Hole Quantum N-Portrait and BMS Symmetry
• Could any black holes be produced at the LHC?
• The slowly rotating near extremal D1-D5 system as a `hot tube'
• Non-local (but also non-singular) physics at the last stages of gravitational collapse
• Non-Thermal Corrections to Hawking Radiation Versus the Information Paradox
• Gravitational Black Hole Hair from Event Horizon Supertranslations
• Large extra dimensions and small black holes at the LHC
• Self-completeness and spontaneous dimensional reduction
• Holographic screens in ultraviolet self-complete quantum gravity
• Fuzziness at the horizon
• Thermodynamical phases of a regular SAdS black hole
• Black holes and the LHC: A review
• Un-graviton corrections to the Schwarzschild black hole
• What Black Holes Can Teach Us
• The Compton-Schwarzschild correspondence from extended de Broglie relations
• Nonlocal and generalized uncertainty principle black holes
• What is the Shape of a Black Hole?
• A review of Quantum Gravity at the Large Hadron Collider
• On covariant long-distance modifications of Einstein theory and strong coupling problem
• Hawking Radiation from Higher-Dimensional Black Holes
• Physically valid black-hole interior models
• Search for new phenomena with photon+jet events in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Ultra-High Energy Probes of Classicalization
• Minimum length effects in black hole physics
• Localised particles and fuzzy horizons: A tool for probing Quantum Black Holes
• Instability of the Noncommutative Geometry Inspired Black Hole
• The fate of radiating black holes in noncommutative geometry
• Twenty Years of Debate with Stephen
• Anisotropic generalizations of de Sitter spacetime
• Horizon of quantum black holes in various dimensions
• Hawking radiation from rotating brane black holes
• Geometric Thermodynamics of Schwarzschild-AdS black hole with a Cosmological Constant as State Variable
• Black Holes at Future Colliders and Beyond - a Review
• Planck's uncertainty principle and the saturation of Lorentz boosts by Planckian black holes
• Deforming regular black holes
• Developments in Black Hole Research: Classical, Semi-classical, and Quantum
• Semi-classical approach to quantum black holes
• Connecting horizon pixels and interior voxels of a black hole
• How to Create Black Holes on Earth?
• Mini-review on mini-black holes from the mini-Big Bang

Cited by in corpus (21)

• Black hole chemistry: thermodynamics with Lambda
• Superrotation Charge and Supertranslation Hair on Black Holes
• Quantum Corrected Black Holes from String T-Duality
• Bardeen black hole chemistry
• Superradiance in Modified Gravity (MOG)
• Regular black holes from semi-classical down to Planckian size
• Skyrmion Black Hole Hair: Conservation of Baryon Number by Black Holes and Observable Manifestations
• Self-complete and GUP-Modified Charged and Spinning Black Holes
• Planckian charged black holes in ultraviolet self-complete quantum gravity
• Global and Local Horizon Quantum Mechanics
• Strong Coupling and Classicalization
• Thermodynamics of the Schwarzschild-AdS black hole with a minimal length
• Generalized Uncertainty Principle and Black Holes in Higher Dimensional Self-Complete Gravity
• The Generalized Uncertainty Principle and Higher Dimensions: Linking Black Holes and Elementary Particles
• Primordial black holes in a dimensionally reduced universe
• Regular black holes in isothermal cavity
• Reconciling microscopic and macroscopic tests of the Compton-Schwarzschild correspondence
• Planck scale black holes - Theory vs. observations
• Combining the Generalized and Extended Uncertainty Principles
• Planckian charged black holes and their cosmological ramifications
• Horizon Quantum Mechanics of Generalized Uncertainty Principle Black Holes