Quantization of a Black-Hole Gravity: geometrodynamics and the quantum phase-space formalism
| Autor: | Almeida, Carla Rodrigues, Rodrigues, Denis Campos |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | Quantum gravity is effective in domains where both quantum effects and gravity are essential, such as in the vicinity of space-time singularities. This paper will investigate the quantization of a black-hole gravity, particularly the region surrounding the singularity at the origin of the coordinate system. Describing the system with a Hamiltonian formalism, we apply the covariant integral quantization method to find the Wheeler-DeWitt equation of the model. We find that the quantized system has a discrete energy spectrum in the region inside the event horizon. Through the Kantowski-Sachs metric, it is possible to correlate the entropic time, which gives the dynamics for this model, to the cosmic time in a non-trivial way. Different configurations for the phase space of a Schwarzschild black hole are obtained in a semi-classical analysis. For lower-energy states, the quantum corrections result in singularity removal and wormhole formation. Comment: 13 pages, 3 figures |
| Databáze: | arXiv |
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