Phase Transition and Critical Behavior in Gravitational Collapse
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911248558325760 |
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| author | Chakrabarti, Soumya |
| author_facet | Chakrabarti, Soumya |
| contents | We present a thermodynamic analysis of spherically symmetric gravitational collapse. Using the Hayward-Kodama formalism, we treat a collapsing sphere as a thermodynamic system and express the surface gravity $κ_{hk}$ in terms of the geometric variables. We derive the specific heat capacities and identify a critical condition $\dotκ_{hk} = 0$ as the locus of second order phase transition during the collapse. Through specific examples, we demonstrate that the condition is independent of singular/non-singular nature of the geometry. We also find that the critical condition of phase transition is equivalent to a stationary condition of the expansion of null congruence. This establishes a direct correspondence between geometric stability and thermodynamic criticality, allowing the identification of apparent horizon as a universal critical surface in the phase-space of gravitational collapse. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02450 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase Transition and Critical Behavior in Gravitational Collapse Chakrabarti, Soumya General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics We present a thermodynamic analysis of spherically symmetric gravitational collapse. Using the Hayward-Kodama formalism, we treat a collapsing sphere as a thermodynamic system and express the surface gravity $κ_{hk}$ in terms of the geometric variables. We derive the specific heat capacities and identify a critical condition $\dotκ_{hk} = 0$ as the locus of second order phase transition during the collapse. Through specific examples, we demonstrate that the condition is independent of singular/non-singular nature of the geometry. We also find that the critical condition of phase transition is equivalent to a stationary condition of the expansion of null congruence. This establishes a direct correspondence between geometric stability and thermodynamic criticality, allowing the identification of apparent horizon as a universal critical surface in the phase-space of gravitational collapse. |
| title | Phase Transition and Critical Behavior in Gravitational Collapse |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2511.02450 |