Properties of the spherically symmetric polymer black holes

Abstract

In this paper we systematically study a five-parameters class of spherically symmetric polymer black/white hole solutions, and find that only three independent combinations are physical and uniquely determine the spacetime properties. After exploring the whole 3-dimensional (3D) phase space, we find that the model has very rich physics, and depending on the choice of these parameters, various possibilities exist, including: (i) spacetimes that have the standard black/white hole structures, that is, spacetimes that are free of spacetime curvature singularities and possess two asymptotically flat regions, which are connected by a transition surface (throat) with a finite and non-zero geometric radius. The black/white hole masses measured by observers in the two asymptotically flat regions are all positive, and the surface gravity of the black (white) hole is positive (negative). (ii) Spacetimes that have wormhole-like structures, in which the two masses are all positive, but no horizons exist.(iii) Spacetimes that still possess curvature singularities, which can be either hidden inside trapped regions or naked. However, such spacetimes correspond to only some limit cases, and the necessary (but not sufficient) condition is that at least one of the two "polymerization" parameters vanishes. In addition, even for solar mass black/white holes, quantum gravitational effects can be still very large at the black/white hole horizons, again depending on the choice of the parameters.

arXiv comment37 pages, 18 figures, 4 tables, v2: title changed, typos corrected, paragraphs and references added, published version

References in corpus (47)

• Loop Quantum Cosmology: A Status Report
• Black hole entropy in Loop Quantum Gravity
• Quantum geometry and the Schwarzschild singularity
• Loop quantum cosmology of k=1 FRW models
• Quantum Transfiguration of Kruskal Black Holes
• Loop quantum black hole
• Quantum Extension of the Kruskal Space-time
• Loop Quantum Dynamics of the Schwarzschild Interior
• Are loop quantum cosmos never singular?
• Space-Time Structure of Loop Quantum Black Hole
• Shadow and Quasinormal Modes of a Rotating Loop Quantum Black Hole
• White Holes as Remnants: A Surprising Scenario for the End of a Black Hole
• Black Holes in Loop Quantum Gravity
• Black holes in loop quantum gravity: the complete space-time
• Loop quantization of the Schwarzschild interior revisited
• From black holes to white holes: a quantum gravitational, symmetric bounce
• A black hole mass threshold from non-singular quantum gravitational collapse
• Phenomenological loop quantum geometry of the Schwarzschild black hole
• Effective loop quantum gravity framework for vacuum spherically symmetric space-times
• Effective line elements and black-hole models in canonical (loop) quantum gravity
• Effective Quantum Extended Spacetime of Polymer Schwarzschild Black Hole
• A consistent model of non-singular Schwarzschild black hole in loop quantum gravity and its quasinormal modes
• Spherically symmetric loop quantum gravity: analysis of improved dynamics
• Opening the Pandora's box at the core of black holes
• Loop quantization of spherically symmetric midi-superspaces : the interior problem
• Quantum gravity predictions for black hole interior geometry
• Black Hole evaporation: A Perspective from Loop Quantum Gravity
• Small black/white hole stability and dark matter
• Properties of a recent quantum extension of the Kruskal geometry
• Phenomenological dynamics of loop quantum cosmology in Kantowski-Sachs spacetime
• Kantowski-Sachs spacetime in loop quantum cosmology: bounds on expansion and shear scalars and the viability of quantization
• On effective loop quantum geometry of Schwarzschild interior
• Emergence of product of constant curvature spaces in loop quantum cosmology
• Perspectives on the dynamics in a loop quantum gravity effective description of black hole interiors
• Loop quantum Schwarzschild interior and black hole remnant
• A no-go result for covariance in models of loop quantum gravity
• Bouncing compact objects I: Quantum extension of the Oppenheimer-Snyder collapse
• The Evolution of $\Lambda$ Black Holes in the Mini-Superspace Approximation of Loop Quantum Gravity
• Evaporating black-to-white hole
• Asymptotic non-flatness of an effective black hole model based on loop quantum gravity
• Singularity avoidance in quantum-inspired inhomogeneous dust collapse
• Can static regular black holes form from gravitational collapse?
• Bouncing compact objects. Part II: Effective theory of a pulsating Planck star
• Gravitational collapse in loop quantum gravity
• Interior metric and ray-tracing map in the firework black-to-white hole transition
• Comment (2) on "Quantum Transfiguration of Kruskal Black Holes"
• An introduction to spherically symmetric loop quantum gravity black holes

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• Quantum Oppenheimer-Snyder and Swiss Cheese models
• Testing loop quantum gravity from observational consequences of non-singular rotating black holes
• On the geometry of the black-to-white hole transition within a single asymptotic region
• Black hole image encoding quantum gravity information
• Constraints on the rotating self-dual black hole with quasi-periodic oscillations
• Gravitational lensing by a black hole in effective loop quantum gravity
• Spherical symmetric gravitational collapse of a dust cloud: polymerized dynamics in reduced phase space
• Constraints on self-dual black hole in loop quantum gravity with S0-2 star in the Galactic Center
• Loop quantum black hole
• Non-singular quantum gravitational dynamics of an LTB dust shell model: the role of quantization prescriptions
• Breaking of isospectrality of quasinormal modes in nonrotating loop quantum gravity black holes
• Causal Structure of a recent Loop Quantum Gravity Black Hole Collapse Model
• Thermodynamics of AdS-Schwarzschild-like black hole in loop quantum gravity
• Reduced Phase Space Quantization of Black Holes: Path Integrals, and Effective Dynamics
• Quasi-Normal Modes of Loop Quantum Black Holes Formed from Gravitational Collapse
• Shadows and optical appearance of quantum-corrected black holes illuminated by static thin accretions
• Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity
• Massless Dirac Perturbations in a Consistent Model of Loop Quantum Gravity Black Hole: Quasinormal Modes and Particle Emission Rates
• Observational tests of quantum extension of Schwarzschild spacetime in loop quantum gravity with stars in the galactic center
• Revisiting quantum black holes from effective loop quantum gravity
• Understanding quantum black holes from quantum reduced loop gravity
• Exploring alternatives to the Hamiltonian calculation of the Ashtekar-Olmedo-Singh black hole solution
• Particle dynamics and the accretion disk around a Self-dual Black Hole immersed in a magnetic field in Loop Quantum Gravity
• Probing a polymerized black hole with the frequency shifts of photons
• Quantum Corrected Polymer Black Hole Thermodynamics: Mass Relations and Logarithmic Entropy Correction
• On consistent gauge fixing conditions in polymerized gravitational systems
• Solar system constraints of a polymer black hole in loop quantum gravity
• Thermodynamic phase transition and Joule-Thomson expansion of a quantum corrected black hole in AdS spacetime
• Lessons from gauge fixing and polymerization of loop quantum black holes with a cosmological constant
• Generic features of a polymer quantum black hole
• Dynamically implementing the $\overline{\mu }$-scheme in cosmological and spherically symmetric models in an extended phase space model
• Hawking radiation by spherically-symmetric static black holes for all spins: II -- Numerical emission rates, analytical limits and new constraints
• Extended geometry of Gambini-Olmedo-Pullin polymer black hole and its quasinormal spectrum
• Report on the session Loop Quantum Gravity: Cosmology and Black Holes of the 16th Marcel Grossmann Meeting