Loop quantum black hole. (English) Zbl 1101.83033

Summary: We study the quantum properties of the Kantowski–Sachs spacetime, using ideas from loop quantum gravity. This spacetime coincides with the Schwarzschild black hole solution inside the horizon. Recently it was shown that the classical black hole singularity is controlled by the quantum theory, using ADM variables. In this paper we have used Ashtekar-like variables, obtaining information both on quantum effects on the singularity and on the dynamics across the \(r = 0\) singular point. Finally, we have found a regular spacetime inside the horizon and that the dynamics can be extended beyond the classical singularity.


83C57 Black holes
83C45 Quantization of the gravitational field
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