Self-dual Black Holes in LQG: Theory and Phenomenology

Abstract

In this paper we have recalled the semiclassical metric obtained from a classical analysis of the loop quantum black hole (LQBH). We show that the regular Reissner-Nordstrom-like metric is self-dual in the sense of T-duality: the form of the metric obtained in Loop quantum Gravity (LQG) is invariant under the exchange "r <-> a0/r" where "a0" is proportional to the minimum area in LQG and "r" is the standard Schwarzschild radial coordinate at asymptotic infinity. Of particular interest, the symmetry imposes that if an observer at "r" close to infinity sees a black hole of mass "m" an observer in the other asymptotic infinity beyond the horizon (at "r" close to "0") sees a dual mass "mp/m" ("mp" is the Planck mass). We then show that small LQBH are stable and could be a component of dark matter. Ultra-light LQBHs created shortly after the Big Bang would now have a mass of approximately "10^(-5) mp" and emit radiation with a typical energy of about 10^(13) - 10^(14) eV but they would also emit cosmic rays of much higher energies, albeit few of them. If these small LQBHs form a majority of the dark matter of the Milky Way's Halo, the production rate of ultra-high-energy-cosmic-rays (UHECR) by these ultra light black holes would be compatible with the observed rate of the Auger detector.

arXiv comment18 pages, 32 figures. Extra Plot, Improved Numerical Results and Corrected typos

References in corpus (56)

• Quantum Gravity at a Lifshitz Point
• Background Independent Quantum Gravity: A Status Report
• Discreteness of area and volume in quantum gravity
• Absence of Singularity in Loop Quantum Cosmology
• First Observation of the Greisen-Zatsepin-Kuzmin Suppression
• Black hole entropy in Loop Quantum Gravity
• Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
• Observation of the suppression of the flux of cosmic rays above 4x10^19eV
• LQG vertex with finite Immirzi parameter
• Renormalization group improved black hole spacetimes
• Loop Quantum Cosmology
• Quantum geometry and the Schwarzschild singularity
• Geometrodynamics of Schwarzschild Black Holes
• Quantum Tunneling Beyond Semiclassical Approximation
• Ultra-high energy cosmic rays without GZK cutoff
• The loop-quantum-gravity vertex-amplitude
• Quantum Tunneling and Back Reaction
• Loop quantum black hole
• Noncommutative Black Hole Thermodynamics
• Hawking Radiation as Tunneling through the Quantum Horizon
• Lectures on Loop Quantum Gravity
• Spacetime Structure of an Evaporating Black Hole in Quantum Gravity
• Loop Quantum Dynamics of the Schwarzschild Interior
• Flipped spinfoam vertex and loop gravity
• On the semiclassical limit of 4d spin foam models
• Space-Time Structure of Loop Quantum Black Hole
• Disappearance of Black Hole Singularity in Quantum Gravity
• Canonical Quantization of Spherically Symmetric Gravity in Ashtekar's Self-Dual Representation
• Fermion Tunneling Beyond Semiclassical Approximation
• Black holes in loop quantum gravity: the complete space-time
• Quantum Tunneling and Trace Anomaly
• The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
• Loop Quantum Gravity: An Inside View
• Thermodynamics of black holes in the deformed Hořava-Lifshitz gravity
• Phenomenological loop quantum geometry of the Schwarzschild black hole
• Information is Not Lost in the Evaporation of 2-dimensional Black Holes
• Spherically Symmetric Gravity as a Completely Integrable System
• Conservative solutions to the black hole information problem
• Thermodynamics of Hořava-Lifshitz black holes
• The length operator in Loop Quantum Gravity
• Loop quantization of spherically symmetric midi-superspaces
• Quantum geometry from phase space reduction
• Black hole interior from loop quantum gravity
• Particle scattering in loop quantum gravity
• Noncommutative Schwarzschild Black Hole and Area Law
• Loop quantization of spherically symmetric midi-superspaces : the interior problem
• Thermodynamics of regular black hole
• Path integral representation of spin foam models of 4d gravity
• Inflationary universe in loop quantum cosmology
• Quantum Cooling Evaporation Process in Regular Black Holes
• Gravitational collapse in loop quantum gravity
• The perturbative Regge-calculus regime of Loop Quantum Gravity
• Semiclassical regime of Regge calculus and spin foams
• Black hole entropy, log corrections and quantum ergosphere
• Determining the Actual Local Density of Dark Matter Particles
• Reduced models for quantum gravity

Cited by in corpus (68)

• Charged rotating noncommutative black holes
• Non-singular quantum-inspired gravitational collapse
• Tests of Loop Quantum Gravity from the Event Horizon Telescope Results of Sgr A${}^{\ast }$
• A model for non-singular black hole collapse and evaporation
• Quantum Corrected Black Holes from String T-Duality
• Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP
• Spinning Loop Black Holes
• Quasinormal modes and shadow of a Schwarzschild black hole with GUP
• Cosmological production of noncommutative black holes
• Hawking emission from quantum gravity black holes
• Mass and Horizon Dirac Observables in Effective Models of Quantum Black-to-White Hole Transition
• Holographic actions from black hole entropy
• Gravitational Lensing by Self-Dual Black Holes in Loop Quantum Gravity
• Geodesic incompleteness of some popular regular black holes
• Periodic orbits and their gravitational wave radiations in a polymer black hole in loop quantum gravity
• Quasinormal frequencies of self-dual black holes
• Aspects of noncommutative (1+1)-dimensional black holes
• Black hole singularity resolution via the modified Raychaudhuri equation in loop quantum gravity
• Constraints on the rotating self-dual black hole with quasi-periodic oscillations
• Quantization of Midisuperspace Models
• Primordial black holes in loop quantum cosmology: The effect on the threshold
• A noncommutative approach to the cosmological constant problem
• Spherically symmetric Einstein-Maxwell theory and loop quantum gravity corrections
• Quantum-corrected scattering and absorption of a Schwarzschild black hole with GUP
• Derivations of group rings
• Mass Inflation in the Loop Black Hole
• Large extra dimensions and small black holes at the LHC
• Fuzziness at the horizon
• Can an astrophysical black hole have a topologically non-trivial event horizon?
• Bouncing compact objects. Part II: Effective theory of a pulsating Planck star
• Constraints on self-dual black hole in loop quantum gravity with S0-2 star in the Galactic Center
• Gravitational axial perturbations and quasinormal modes of loop quantum black holes
• Quantum tunneling radiation from self-dual black holes
• Semiclassical geons at particle accelerators
• Observational tests of the self-dual spacetime in loop quantum gravity
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Polymer Quantum Cosmology: Lifting quantization ambiguities using a $SL(2,\mathbb{R})$ conformal symmetry
• Deformed algebra and the effective dynamics of the interior of black holes
• Minimum length effects in black hole physics
• Polar gravitational perturbations and quasinormal modes of a loop quantum gravity black hole
• Effective Quantum Dust Collapse via Surface Matching
• Probing Effective Loop Quantum Gravity on Weak Gravitational Lensing, Hawking Radiation and Bounding Greybody Factor by Black Holes
• Axial gravitational quasinormal modes of a self-dual black hole in loop quantum gravity
• The final stage of gravitationally collapsed thick matter layers
• Black holes production in self-complete quantum gravity
• Emission spectra of self-dual black holes
• Dynamical evaporation of quantum horizons
• Observational tests of quantum extension of Schwarzschild spacetime in loop quantum gravity with stars in the galactic center
• Shadow of quantum extended Kruskal black hole and its super-radiance property
• Constraints from Solar System tests on a covariant loop quantum black hole
• Quasinormal modes of a massive scalar field nonminimally coupled to gravity in the spacetime of Self-Dual Black Hole
• Remnant loop quantum black holes
• The Generalized Uncertainty Principle and Higher Dimensions: Linking Black Holes and Elementary Particles
• Quantum Corrected Polymer Black Hole Thermodynamics: Mass Relations and Logarithmic Entropy Correction
• Particle dynamics and the accretion disk around a Self-dual Black Hole immersed in a magnetic field in Loop Quantum Gravity
• Stability of self-dual black holes
• On the horizon area of effective loop quantum black holes
• Constraining LQG Graph with Light Surfaces: Properties of BH Thermodynamics for Mini-Super-Space, Semi-Classical Polymeric BH
• Quasinormal modes of loop quantum black holes near the Planck scale
• Spin networks and the big bang singularity avoidance in the AdS/CFT correspondence
• Finite Quantum Gravity
• Energy Extraction from Loop Quantum Black Holes: The Role of Magnetic Penrose Process and Quantum Gravity Effects with Astrophysical Insights
• Entropic corrected Newton's law of gravitation and the Loop Quantum Black Hole gravitational atom
• Non-singular naked solutions in quantum spacetime
• Hawking radiation by spherically-symmetric static black holes for all spins: II -- Numerical emission rates, analytical limits and new constraints
• Probing the interior of the Schwarzschild black hole using congruences: LQG vs. GUP
• Hot Spaghetti: Viscous Gravitational Collapse
• Quantum atmosphere effective radii for different spin fields from quantum gravity inspired black holes