Asymptotically de Sitter Universe inside a Schwarzschild black hole

Abstract

Extending our previous analysis, we study the interior of a Schwarzschild black hole derived from a partial gauge fixing of the full Loop Quantum Gravity Hilbert space, this time including the inverse volume and coherent state subleading corrections. Our derived effective Hamiltonian differs crucially from the ones introduced in the minisuperspace models. This distinction is reflected in the class of homogeneous bouncing geometries that replace the classical singularity and are labeled by a set of quantum parameters associated with the structure of coherent states used to derive the effective Hamiltonian. By fixing these quantum parameters through geometrical considerations, the post-bounce interior geometry reveals a high sensitivity to the value of the Barbero-Immirzi parameter $\gamma$. Surprisingly, we find that $\gamma \approx 0.274$ results in an asymptotically de Sitter geometry in the interior region, where now a cosmological constant is generated purely from quantum gravitational effects. The striking fact is the exact coincidence of this value for $\gamma$ with the one derived from the SU(2) black hole entropy calculations in Loop Quantum Gravity. The emergence of this value in two entirely unrelated theoretical frameworks and computational setups is strongly suggestive of deep ties between the area gap in Loop Quantum Gravity, black hole physics, and the observable Universe. In connection to the latter, we point out an intriguing relation between the measured value of the cosmological constant and the observed mass in the Universe from a proposal for a spin quantum number renormalization effect associated to the microscopic dynamics.

arXiv comment31 pages, 3 figures; minor modifications to match published version

References in corpus (78)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Loop Quantum Cosmology: A Status Report
• Isolated and dynamical horizons and their applications
• Quantum Spin Dynamics (QSD)
• Black hole entropy in Loop Quantum Gravity
• The Spin Foam Approach to Quantum Gravity
• Regular phantom black holes
• Spectroscopy of the quantum black hole
• Quantum geometry and the Schwarzschild singularity
• Black hole entropy from Quantum Geometry
• Geometrodynamics of Schwarzschild Black Holes
• A new spinfoam vertex for quantum gravity
• Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
• Quantum Transfiguration of Kruskal Black Holes
• Black hole fireworks: quantum-gravity effects outside the horizon spark black to white hole tunneling
• Loop quantum black hole
• Quantum Extension of the Kruskal Space-time
• Loop Quantum Dynamics of the Schwarzschild Interior
• Dark energy as the weight of violating energy conservation
• Cosmology with torsion: An alternative to cosmic inflation
• Gauge Field Theory Coherent States (GCS) : II. Peakedness Properties
• Regular black holes and black universes
• On the viability of regular black holes
• Black hole entropy from an SU(2)-invariant formulation of Type I isolated horizons
• Coherent States for Canonical Quantum General Relativity and the Infinite Tensor Product Extension
• Quantum Black Hole Entropy
• Black hole entropy and isolated horizons thermodynamics
• Phenomenological loop quantum geometry of the Schwarzschild black hole
• Quantum black holes in Loop Quantum Gravity
• Effective loop quantum gravity framework for vacuum spherically symmetric space-times
• Asymptotics with a positive cosmological constant: I. Basic framework
• Effective line elements and black-hole models in canonical (loop) quantum gravity
• Covariance in models of loop quantum gravity: Spherical symmetry
• Detailed black hole state counting in loop quantum gravity
• Universe Generation from Black Hole Interiors
• Polymer Schwarzschild black hole: An effective metric
• Quantum-Reduced Loop Gravity: Cosmology
• Singularity avoidance by collapsing shells in quantum gravity
• Quantum gravity predictions for black hole interior geometry
• A Nonsingular Two Dimensional Black Hole
• The SU(2) Black Hole entropy revisited
• Event Horizon Telescope Observations as Probes for Quantum Structure of Astrophysical Black Holes
• Black Hole Entropy from complex Ashtekar variables
• Towards an Anomaly-Free Quantum Dynamics for a Weak Coupling Limit of Euclidean Gravity
• Statistics, holography, and black hole entropy in loop quantum gravity
• The physics of the relativistic counter-streaming instability that drives mass inflation inside black holes
• Properties of a recent quantum extension of the Kruskal geometry
• Dark energy from quantum gravity discreteness
• Counting black hole microscopic states in loop quantum gravity
• Cosmological singularity resolution from quantum gravity: the emergent-bouncing universe
• The combinatorics of the SU(2) black hole entropy in loop quantum gravity
• Imaginary action, spinfoam asymptotics and the 'transplanckian' regime of loop quantum gravity
• Quantum Reduced Loop Gravity: Semiclassical limit
• Renormalization and black hole entropy in Loop Quantum Gravity
• The Evolution of $\Lambda$ Black Holes in the Mini-Superspace Approximation of Loop Quantum Gravity
• Generalized quantum gravity condensates for homogeneous geometries and cosmology
• Quantum Geometry and Thermal Radiation from Black Holes
• Quantum Non-Gravity and Stellar Collapse
• Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity
• Mass Inflation in the Loop Black Hole
• Entropy of Non-Extremal Black Holes from Loop Gravity
• Quantum evolution of black hole initial data sets: Foundations
• Black Holes as Quantum Gravity Condensates
• Geometric temperature and entropy of quantum isolated horizons
• Static isolated horizons: SU(2) invariant phase space, quantization, and black hole entropy
• CFT/Gravity Correspondence on the Isolated Horizon
• Searching for quantum black hole structure with the Event Horizon Telescope
• The Diffeomorphism Constraint Operator in Loop Quantum Gravity
• Probing Loop Quantum Gravity with Evaporating Black Holes
• Covariance in self dual inhomogeneous models of effective quantum geometry: Spherical symmetry and Gowdy systems
• Horizon entropy with loop quantum gravity methods
• The constraint algebra in Smolins' $G\to 0$ limit of 4d Euclidean Gravity
• Radiation from quantum weakly dynamical horizons in LQG
• Quantum reduced loop gravity effective Hamiltonians from a statistical regularization scheme
• Dynamical evaporation of quantum horizons
• Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity
• Orthogonal gauge fixing of first order gravity

Cited by in corpus (18)

• On the fate of quantum black holes
• Black hole singularity resolution via the modified Raychaudhuri equation in loop quantum gravity
• Loop quantum deparametrized Schwarzschild interior and discrete black hole mass
• Improved Effective Dynamics of Loop-Quantum-Gravity Black Hole and Nariai Limit
• Symmetries of the Black Hole Interior and Singularity Regularization
• Quantum dynamics of the black hole interior in LQC
• Understanding quantum black holes from quantum reduced loop gravity
• Quantum Corrected Polymer Black Hole Thermodynamics: Mass Relations and Logarithmic Entropy Correction
• Nonexistence of quantum black and white hole horizons in an improved dynamic approach
• Loop effective model for Schwarzschild black hole interior: a modified $\bar{\mu }$ dynamics
• Quantum geometry and black holes
• Formation of nonsingular spherical black holes with holonomy corrections
• Scalar curvature operator for quantum-reduced loop gravity
• Generic features of a polymer quantum black hole
• Master constraint approach to quantum-reduced loop gravity
• Probing the interior of the Schwarzschild black hole using congruences: LQG vs. GUP
• Hawking radiation by spherically-symmetric static black holes for all spins: II -- Numerical emission rates, analytical limits and new constraints
• Effective dynamics of Janis-Newman-Winicour spacetime