Loop quantum Schwarzschild interior and black hole remnant
Cong Zhang, Yongge Ma, Shupeng Song, Xiangdong Zhang
Abstract
The interior of a Schwarzschild black hole is quantized by the method of loop quantum gravity. The Hamiltonian constraint is solved and the physical Hilbert space is obtained in the model. The properties of a Dirac observable corresponding to the Arnowitt-Deser-Misner mass of the Schwarzschild black hole are studied by both analytical and numerical techniques. It turns out that zero is not in the discrete spectrum of this Dirac observable. This supports the existence of a stable remnant after the evaporation of a black hole. Our conclusion is valid for a general class of schemes adopted for loop quantization of the model.
Topics & Concepts
Schwarzschild radiusPhysicsBlack hole (networking)Loop quantum gravityHamiltonian (control theory)Hamiltonian constraintSchwarzschild metricObservablePhoton sphereQuantization (signal processing)Quantum gravityMathematical physicsCharged black holeQuantum mechanicsQuantumGeneral relativitySpacetimeMathematicsAlgorithmRouting (electronic design automation)Mathematical optimizationComputer networkRouting protocolLink-state routing protocolComputer scienceNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical PhysicsQuantum Electrodynamics and Casimir Effect