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Quantum dust cores of black holes

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arxiv 2304.06816 v2 pith:DGHFO26W submitted 2023-04-13 gr-qc hep-th

classification gr-qchep-th
keywords dustquantumblackcoreholeslayersnumberradius
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We describe the ground state for a gravitationally collapsed ball of dust as the direct product of wavefunctions for dust particles distributed over an arbitrary number of nested layers. This allows us to estimate the expectation value of the global radius as well as the effective energy density and pressures for the dust core of quantum black holes. In particular, the size of the quantum core does not depend on the number of layers and the mass function is shown to grow linearly with the areal radius up to the outermost layer.

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Cited by 2 Pith papers

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

  1. Quantum dust cores of rotating black holes

    gr-qc 2026-01 unverdicted novelty 6.0 of 10

    Quantizing geodesic motion of dust particles in rotating black hole geometries produces many-body ground states whose core size and effective interior geometry depend on angular momentum.

  2. Bounded compactness from G(E)UP

    gr-qc 2025-07 conditional novelty 6.0 of 10

    The generalized uncertainty principle bounds the compactness of any object much heavier than the Planck mass by about 1/α, and the existence of black holes forces the GUP parameter to satisfy α ≲ 2.

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