Black hole singularities from holographic complexity
Abstract Using a second law of complexity, we prove a black hole singularity theorem. By introducing the notion of trapped extremal surfaces, we show that their existence implies null geodesic incompleteness inside globally hyperbolic black holes. We also demonstrate that the vanishing of the growth...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2025)275 |
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| _version_ | 1849238190084325376 |
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| author | Vyshnav Mohan |
| author_facet | Vyshnav Mohan |
| author_sort | Vyshnav Mohan |
| collection | DOAJ |
| description | Abstract Using a second law of complexity, we prove a black hole singularity theorem. By introducing the notion of trapped extremal surfaces, we show that their existence implies null geodesic incompleteness inside globally hyperbolic black holes. We also demonstrate that the vanishing of the growth rate of the volume of extremal surfaces provides a sharp diagnostic of the black hole singularity. In static, uncharged, spherically symmetric spacetimes, this corresponds to the growth rate of spacelike extremal surfaces going to zero at the singularity. In charged or rotating spacetimes, such as the Reissner-Nordström and Kerr black holes, we identify novel timelike extremal surfaces that exhibit the same behavior at the timelike singularity. |
| format | Article |
| id | doaj-art-f50656b6e88c40d2b44d9bd58b4577ed |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-f50656b6e88c40d2b44d9bd58b4577ed2025-08-20T04:01:43ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025711910.1007/JHEP07(2025)275Black hole singularities from holographic complexityVyshnav Mohan0Science Institute, University of IcelandAbstract Using a second law of complexity, we prove a black hole singularity theorem. By introducing the notion of trapped extremal surfaces, we show that their existence implies null geodesic incompleteness inside globally hyperbolic black holes. We also demonstrate that the vanishing of the growth rate of the volume of extremal surfaces provides a sharp diagnostic of the black hole singularity. In static, uncharged, spherically symmetric spacetimes, this corresponds to the growth rate of spacelike extremal surfaces going to zero at the singularity. In charged or rotating spacetimes, such as the Reissner-Nordström and Kerr black holes, we identify novel timelike extremal surfaces that exhibit the same behavior at the timelike singularity.https://doi.org/10.1007/JHEP07(2025)275Black HolesSpacetime SingularitiesAdS-CFT Correspondence |
| spellingShingle | Vyshnav Mohan Black hole singularities from holographic complexity Journal of High Energy Physics Black Holes Spacetime Singularities AdS-CFT Correspondence |
| title | Black hole singularities from holographic complexity |
| title_full | Black hole singularities from holographic complexity |
| title_fullStr | Black hole singularities from holographic complexity |
| title_full_unstemmed | Black hole singularities from holographic complexity |
| title_short | Black hole singularities from holographic complexity |
| title_sort | black hole singularities from holographic complexity |
| topic | Black Holes Spacetime Singularities AdS-CFT Correspondence |
| url | https://doi.org/10.1007/JHEP07(2025)275 |
| work_keys_str_mv | AT vyshnavmohan blackholesingularitiesfromholographiccomplexity |