Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 38, Issue 14, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1361-6382/ac025f
Keywords
black hole; singularity resolution; deformed algebra; generalized uncertainty principle; canonical quantum gravity
Categories
Funding
- CONACYT Project [257919]
- UG Project CIIC [188/2019]
- PRODEP (Professional Program for Teachers Development, Guanajuato)
- CONACYT (National Council of Science and Technology, Mexico)
- Natural Sciences and Engineering Research Council of Canada (NSERC) [RGPIN-2021-03644, DGECR-2021-00302]
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This study investigates the classical Hamiltonian of the interior of the Schwarzschild black hole in the Ashtekar-Barbero connection formalism and deforms the classical canonical algebra inspired by generalized uncertainty principle models. The deformation leads to the resolution of the singularity of the black hole and a minimum nonzero radius for the infalling two-spheres, with negative deformation parameters chosen.
We consider the classical Hamiltonian of the interior of the Schwarzschild black hole in Ashtekar-Barbero connection formalism. Then, inspired by generalized uncertainty principle models, we deform the classical canonical algebra and derive the effective dynamics of the model under this modification. We show that such a deformation leads to the resolution of the singularity of the black hole and a minimum nonzero radius for the infalling two-spheres, provided that the deformation parameters are chosen to be negative.
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