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Quantum dust cores of black holes
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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.
Forward citations
Cited by 3 Pith papers
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Coherent quantum geometry: de Sitter spacetime in different foliations
In a coherent-state quantum geometry model, the de Sitter metric is reproduced in the Poincaré patch only for finite cosmological time, while the static patch acquires a real singularity at the horizon.
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Quantum dust cores of rotating black holes
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.
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Bounded compactness from G(E)UP
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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