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.
Hamiltonian Treatment of the Gravitational Collapse of Thin Shells
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abstract
A Hamiltonian treatment of the gravitational collapse of thin shells is presented. The direct integration of the canonical constraints reproduces the standard shell dynamics for a number of known cases. The formalism is applied in detail to three dimensional spacetime and the properties of the (2+1)-dimensional charged black hole collapse are further elucidated. The procedure is also extended to deal with rotating solutions in three dimensions. The general form of the equations providing the shell dynamics implies the stability of black holes, as they cannot be converted into naked singularities by any shell collapse process.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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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.