Effective metric descriptions of quantum black holes
Abstract In a recent work (Del Piano et al. in Phys Rev D 109(2):024045, 2024), we have described spherically symmetric and static quantum black holes as deformations of the classical Schwarzschild metric that depend on the physical distance to the horizon. We have developed a framework that allows...
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| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13609-5 |
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| _version_ | 1832571388765929472 |
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| author | Manuel Del Piano Stefan Hohenegger Francesco Sannino |
| author_facet | Manuel Del Piano Stefan Hohenegger Francesco Sannino |
| author_sort | Manuel Del Piano |
| collection | DOAJ |
| description | Abstract In a recent work (Del Piano et al. in Phys Rev D 109(2):024045, 2024), we have described spherically symmetric and static quantum black holes as deformations of the classical Schwarzschild metric that depend on the physical distance to the horizon. We have developed a framework that allows us to compute the latter in a self-consistent fashion from the deformed geometry, in the vicinity of the horizon. However, in this formalism, the distance can be replaced by other physical quantities, e.g. curvature invariants such as the Ricci- or Kretschmann scalar. Here, we, therefore, define a more general framework, which we call an effective metric description (EMD), that captures the deformed geometry based on a generic physical quantity. We develop in detail the Ricci- and Kretschmann scalar EMD, in particular demonstrating how to compute the geometry in a self-consistent manner. Moreover, we provide explicit relations that allow us to express one EMD in terms of the others, thus demonstrating their equivalence. |
| format | Article |
| id | doaj-art-8986b7348794457db0b42179c914e107 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-8986b7348794457db0b42179c914e1072025-02-02T12:39:34ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-12-01841211710.1140/epjc/s10052-024-13609-5Effective metric descriptions of quantum black holesManuel Del Piano0Stefan Hohenegger1Francesco Sannino2Scuola Superiore MeridionaleDepartment of Physics E. Pancini, Università di Napoli Federico IIScuola Superiore MeridionaleAbstract In a recent work (Del Piano et al. in Phys Rev D 109(2):024045, 2024), we have described spherically symmetric and static quantum black holes as deformations of the classical Schwarzschild metric that depend on the physical distance to the horizon. We have developed a framework that allows us to compute the latter in a self-consistent fashion from the deformed geometry, in the vicinity of the horizon. However, in this formalism, the distance can be replaced by other physical quantities, e.g. curvature invariants such as the Ricci- or Kretschmann scalar. Here, we, therefore, define a more general framework, which we call an effective metric description (EMD), that captures the deformed geometry based on a generic physical quantity. We develop in detail the Ricci- and Kretschmann scalar EMD, in particular demonstrating how to compute the geometry in a self-consistent manner. Moreover, we provide explicit relations that allow us to express one EMD in terms of the others, thus demonstrating their equivalence.https://doi.org/10.1140/epjc/s10052-024-13609-5 |
| spellingShingle | Manuel Del Piano Stefan Hohenegger Francesco Sannino Effective metric descriptions of quantum black holes European Physical Journal C: Particles and Fields |
| title | Effective metric descriptions of quantum black holes |
| title_full | Effective metric descriptions of quantum black holes |
| title_fullStr | Effective metric descriptions of quantum black holes |
| title_full_unstemmed | Effective metric descriptions of quantum black holes |
| title_short | Effective metric descriptions of quantum black holes |
| title_sort | effective metric descriptions of quantum black holes |
| url | https://doi.org/10.1140/epjc/s10052-024-13609-5 |
| work_keys_str_mv | AT manueldelpiano effectivemetricdescriptionsofquantumblackholes AT stefanhohenegger effectivemetricdescriptionsofquantumblackholes AT francescosannino effectivemetricdescriptionsofquantumblackholes |