Vacuum polarization and stress-energy of a quantum field inside of two-dimensional black holes
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915561309470720 |
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| author | Anderson, Paul R. Peake, Amanda Siahmazgi, Shohreh Gholizadeh |
| author_facet | Anderson, Paul R. Peake, Amanda Siahmazgi, Shohreh Gholizadeh |
| contents | Quantum effects are studied in both Schwarzschild spacetime and a spacetime in which a null shell collapses to form a black hole via the vacuum polarization $\langle ϕ^2 \rangle$ and stress-energy tensor $\langle T_{ab} \rangle$ for a massless minimally-coupled scalar field in two dimensions. For Schwarzschild spacetime, the Boulware, Unruh, and Hartle-Hawking states are considered. For the collapsing null shell spacetime, the \textit{in} vacuum state is used. Instabilities of the Unruh, Hartle-Hawking, and \textit{in} states resulting from the behavior of $\langle ϕ^2 \rangle$ in the regions inside and outside of the horizon are found. The question of how well the Unruh state for the eternal black hole approximates quantum effects in the interior of a black hole that forms from collapse is addressed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_16300 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Vacuum polarization and stress-energy of a quantum field inside of two-dimensional black holes Anderson, Paul R. Peake, Amanda Siahmazgi, Shohreh Gholizadeh General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum effects are studied in both Schwarzschild spacetime and a spacetime in which a null shell collapses to form a black hole via the vacuum polarization $\langle ϕ^2 \rangle$ and stress-energy tensor $\langle T_{ab} \rangle$ for a massless minimally-coupled scalar field in two dimensions. For Schwarzschild spacetime, the Boulware, Unruh, and Hartle-Hawking states are considered. For the collapsing null shell spacetime, the \textit{in} vacuum state is used. Instabilities of the Unruh, Hartle-Hawking, and \textit{in} states resulting from the behavior of $\langle ϕ^2 \rangle$ in the regions inside and outside of the horizon are found. The question of how well the Unruh state for the eternal black hole approximates quantum effects in the interior of a black hole that forms from collapse is addressed. |
| title | Vacuum polarization and stress-energy of a quantum field inside of two-dimensional black holes |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.16300 |