A Hamiltonian formulation of Darmois-Israel junction conditions extends LQG-inspired stellar collapse models beyond shell-crossing singularities by treating them as timelike thin dust shells, yielding an inter-universal wormhole with continuous induced metric.
Quantum gravity of dust collapse: shock waves from black holes
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abstract
We study the quantum gravitational collapse of spherically symmetric pressureless dust. Using an effective equation derived from a polymer quantization in the connection-triad phase space variables of general relativity, we find numerically, for a variety of initial dust configurations, that (i) trapped surfaces form and disappear as an initially collapsing density profile evolves into an outgoing shockwave; (ii) black hole lifetime is proportional to the square of its mass; and (iii) there is no mass inflation at inner apparent horizons. These results provide a substantially different view of black hole formation and subsequent evolution than found from semiclassical analyses.
fields
gr-qc 4representative citing papers
An exact spherically symmetric analytic collapse model grows an apparent horizon H(t) from zero to 2M while hiding an integrable central singularity and preserving weak cosmic censorship without exotic matter.
Algebraic equations from Hamiltonian constraints on vacuum spherically symmetric metrics describe non-homogeneous dust collapse and bounce, applied to quantum-inspired models to recover or find new bounce results.
Dust collapse in asymptotically safe gravity produces singularity-free black hole spacetimes via a matter-geometry coupling χ that vanishes the gravitational constant at high energies, with exterior fixed by junction conditions.
citing papers explorer
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Quantum gravitational stellar evolution beyond shell-crossing singularities
A Hamiltonian formulation of Darmois-Israel junction conditions extends LQG-inspired stellar collapse models beyond shell-crossing singularities by treating them as timelike thin dust shells, yielding an inter-universal wormhole with continuous induced metric.
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An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole
An exact spherically symmetric analytic collapse model grows an apparent horizon H(t) from zero to 2M while hiding an integrable central singularity and preserving weak cosmic censorship without exotic matter.
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Dust collapse and bounce in spherically symmetric quantum-inspired gravity models
Algebraic equations from Hamiltonian constraints on vacuum spherically symmetric metrics describe non-homogeneous dust collapse and bounce, applied to quantum-inspired models to recover or find new bounce results.
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Dust collapse in asymptotic safety: a path to regular black holes
Dust collapse in asymptotically safe gravity produces singularity-free black hole spacetimes via a matter-geometry coupling χ that vanishes the gravitational constant at high energies, with exterior fixed by junction conditions.