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Quantum geometry and the Schwarzschild singularity

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arxiv gr-qc/0509075 v1 pith:CYP2TQLE submitted 2005-09-18 gr-qc

Abhay Ashtekar , Martin Bojowald This is my paper · ORCID
classification gr-qc
keywords quantumsingularityeffectsgeometryleadresolutionschwarzschildad-hoc
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In homogeneous cosmologies, quantum geometry effects lead to a resolution of the classical singularity without having to invoke special boundary conditions at the singularity or introduce ad-hoc elements such as unphysical matter. The same effects are shown to lead to a resolution of the Schwarzschild singularity. The resulting quantum extension of space-time is likely to have significant implications to the black hole evaporation process. Similarities and differences with the situation in quantum geometrodynamics are pointed out.

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Forward citations

Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Asymmetric Quantum Oppenheimer-Snyder Collapse

    gr-qc 2026-08 conditional novelty 6.0 of 10

    Asymmetric loop-quantum-cosmology collapse of a dust ball yields a geodesically complete, bouncing regular black hole spacetime with a C^0 shock at the dust surface and two joined vacuum geometries.

  2. Scalar perturbations and strong cosmic censorship in a regular ABGB-de Sitter black hole spacetime

    gr-qc 2026-07 conditional novelty 6.0 of 10

    In regular ABGB-de Sitter black holes, near-extremal scalar perturbations decay fast enough (β>1/2) to violate strong cosmic censorship, and adding scalar mass can push the regularity parameter past β=1.

  3. Lessons from gauge fixing and polymerization of loop quantum black holes with a cosmological constant

    gr-qc 2025-02 accept novelty 6.0 of 10

    Constant-polymerization loop quantization of Schwarzschild-de Sitter in Kantowski-Sachs gauge generates a spurious low-curvature black hole horizon, while Schwarzschild-anti-de Sitter does not.

  4. Higher-dimensional quantum-corrected Oppenheimer-Snyder model with a cosmological constant

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Extends quantum Oppenheimer-Snyder collapse model to higher dimensions plus cosmological constant and reports modified AdS black-hole thermodynamics with finite small-black-hole temperature and an extra quantum-induce...

  5. Natural modification of quantum uncertainty, modified gravity, and cosmology

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    Using FLRW cosmology to connect generalized uncertainty principle modifications to modified gravity shows that only Born-Infeld models remain natural in both settings.

  6. Canonical form of a deformed Poisson bracket spacetime

    gr-qc 2025-11 unverdicted novelty 5.0 of 10

    A Hamiltonian is constructed that renders a deformed Poisson bracket spacetime theory canonical and covariant, enabling consistent coupling to scalar matter and dust.

  7. Complementarity of Gravitational Collapse (I) Origin of the Bekenstein-Hawking Entropy

    gr-qc 2025-05 reject novelty 4.0 of 10

    The paper claims black hole entropy arises from counting quantum states of collapsing dust shells, with Schwarzschild and Lemaitre coordinates giving complementary views of the same horizonless interior.

  8. Observable thin accretion disk around a self-dual black hole in loop quantum gravity

    gr-qc 2025-09 conditional novelty 3.0 of 10

    A self-dual loop quantum black hole is shown to look smaller and brighter than Schwarzschild in thin disk models, with the polymer parameter P bounded by Mercury and S2 star data.

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