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An effective model for the quantum Schwarzschild black hole

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arxiv 2112.12110 v2 pith:7JP5TRUL submitted 2021-12-22 gr-qc hep-th

Asier Alonso-Bardaji , David Brizuela , Raül Vera This is my paper · ORCID
classification gr-qchep-th
keywords schwarzschildeffectiveinteriormodelquantumalgebraanalyticalanomaly-free
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We present an effective theory to describe the quantization of spherically symmetric vacuum in loop quantum gravity. We include anomaly-free holonomy corrections through a canonical transformation of the Hamiltonian of general relativity, such that the modified constraint algebra closes. The system is then provided with a fully covariant and unambigous geometric description, independent of the gauge choice on the phase space. The resulting spacetime corresponds to a singularity-free (black-hole/white-hole) interior and two asymptotically flat exterior regions of equal mass. The interior region contains a minimal smooth spacelike surface that replaces the Schwarzschild singularity. We find the global causal structure and the maximal analytical extension. Both Minkowski and Schwarzschild spacetimes are directly recovered as particular limits of the model.

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Cited by 4 Pith papers

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