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Deformed algebra and the effective dynamics of the interior of black holes

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arxiv 2012.04795 v2 pith:XWSMQSGW submitted 2020-12-09 gr-qc hep-th

Pasquale Bosso , Octavio Obregón , Saeed Rastgoo , Wilfredo Yupanqui This is my paper · ORCID
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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 2-spheres, provided that the deformation parameters are chosen to be negative.

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  1. Geometry of a generalized uncertainty-inspired spacetime

    gr-qc 2024-12 conditional novelty 5.0 of 10

    In a GUP-inspired quantum black hole metric, the classical singularity at r=0 becomes a null surface at infinite affine distance, yielding a non-traversable wormhole and a zero-temperature remnant.

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