Effective LQG-inspired dynamics of a thin shell and the fate of a collapsing star
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909998492155904 |
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| author | Fazzini, Francesco |
| author_facet | Fazzini, Francesco |
| contents | Effective models inspired by loop quantum gravity typically resolve the central singularity by replacing it with a bounce of the matter density in the Planckian regime. In the specific model analyzed here, this bounce is generally followed by the formation of shell-crossing singularities. The purpose of this work is to provide a physically meaningful extension of spacetime beyond the shell-crossing singularity. To this end, we derive the dynamics of a dust thin shell within the effective Hamiltonian framework. The motion of the shell remains timelike throughout: after undergoing a quantum-gravitational bounce, it expands and eventually emerges from the white-hole vacuum region. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04945 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effective LQG-inspired dynamics of a thin shell and the fate of a collapsing star Fazzini, Francesco General Relativity and Quantum Cosmology Effective models inspired by loop quantum gravity typically resolve the central singularity by replacing it with a bounce of the matter density in the Planckian regime. In the specific model analyzed here, this bounce is generally followed by the formation of shell-crossing singularities. The purpose of this work is to provide a physically meaningful extension of spacetime beyond the shell-crossing singularity. To this end, we derive the dynamics of a dust thin shell within the effective Hamiltonian framework. The motion of the shell remains timelike throughout: after undergoing a quantum-gravitational bounce, it expands and eventually emerges from the white-hole vacuum region. |
| title | Effective LQG-inspired dynamics of a thin shell and the fate of a collapsing star |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2509.04945 |