Black Hole Singularity and Timelike Entanglement
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911929347342336 |
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| author | Anegawa, Takanori Tamaoka, Kotaro |
| author_facet | Anegawa, Takanori Tamaoka, Kotaro |
| contents | We study timelike and conventional entanglement entropy as potential probes of black hole singularities via the AdS/CFT correspondence. Using an analytically tractable example, we find characteristic behavior of holographic timelike entanglement entropy when the geometry involves a curvature singularity. We also observe interesting phenomena that, in some particular setups, holographic timelike and conventional entanglement entropy are determined from multiple complex saddle points, which fall outside the assumptions of the Lewkowycz-Maldacena type argument. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_10968 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Black Hole Singularity and Timelike Entanglement Anegawa, Takanori Tamaoka, Kotaro High Energy Physics - Theory General Relativity and Quantum Cosmology We study timelike and conventional entanglement entropy as potential probes of black hole singularities via the AdS/CFT correspondence. Using an analytically tractable example, we find characteristic behavior of holographic timelike entanglement entropy when the geometry involves a curvature singularity. We also observe interesting phenomena that, in some particular setups, holographic timelike and conventional entanglement entropy are determined from multiple complex saddle points, which fall outside the assumptions of the Lewkowycz-Maldacena type argument. |
| title | Black Hole Singularity and Timelike Entanglement |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2406.10968 |