In a polymerized loop-quantum-gravity black hole model, a collapsing dust shell bounces and, for sufficiently heavy shells, follows a spacelike trajectory through the horizon, implying a finite horizon lifetime and a discontinuous metric.
Loop quantum Schwarzschild interior and black hole remnant
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abstract
The interior of 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 ADM mass of the Schwarzschild black hole are studied by both analytical and numerical techniques. It turns out that zero is not in the 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.
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Dust shell in effective loop quantum black hole model
In a polymerized loop-quantum-gravity black hole model, a collapsing dust shell bounces and, for sufficiently heavy shells, follows a spacelike trajectory through the horizon, implying a finite horizon lifetime and a discontinuous metric.