Black hole perturbation theory and multiple polylogarithms
Abstract We study black hole linear perturbation theory in a four-dimensional Schwarzschild (anti) de Sitter background. When dealing with a positive cosmological constant, the corresponding spectral problem is solved systematically via the Nekrasov-Shatashvili functions or, equivalently, classical...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2023)059 |
| _version_ | 1827277369507840000 |
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| author | Gleb Aminov Paolo Arnaudo Giulio Bonelli Alba Grassi Alessandro Tanzini |
| author_facet | Gleb Aminov Paolo Arnaudo Giulio Bonelli Alba Grassi Alessandro Tanzini |
| author_sort | Gleb Aminov |
| collection | DOAJ |
| description | Abstract We study black hole linear perturbation theory in a four-dimensional Schwarzschild (anti) de Sitter background. When dealing with a positive cosmological constant, the corresponding spectral problem is solved systematically via the Nekrasov-Shatashvili functions or, equivalently, classical Virasoro conformal blocks. However, this approach can be more complicated to implement for certain perturbations if the cosmological constant is negative. For these cases, we propose an alternative method to set up perturbation theory for both small and large black holes in an analytical manner. Our analysis reveals a new underlying recursive structure that involves multiple polylogarithms. We focus on gravitational, electromagnetic, and conformally coupled scalar perturbations subject to Dirichlet and Robin boundary conditions. The low-lying modes of the scalar sector of gravitational perturbations and its hydrodynamic limit are studied in detail. |
| first_indexed | 2024-03-10T22:23:27Z |
| format | Article |
| id | doaj.art-a398f84bce804a9987e9918eedfc69e5 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:19:45Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a398f84bce804a9987e9918eedfc69e52024-04-21T11:06:30ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231116110.1007/JHEP11(2023)059Black hole perturbation theory and multiple polylogarithmsGleb Aminov0Paolo Arnaudo1Giulio Bonelli2Alba Grassi3Alessandro Tanzini4C.N. Yang Institute for Theoretical Physics, State University of New YorkInternational School of Advanced Studies (SISSA)International School of Advanced Studies (SISSA)CERN, Theoretical Physics DepartmentInternational School of Advanced Studies (SISSA)Abstract We study black hole linear perturbation theory in a four-dimensional Schwarzschild (anti) de Sitter background. When dealing with a positive cosmological constant, the corresponding spectral problem is solved systematically via the Nekrasov-Shatashvili functions or, equivalently, classical Virasoro conformal blocks. However, this approach can be more complicated to implement for certain perturbations if the cosmological constant is negative. For these cases, we propose an alternative method to set up perturbation theory for both small and large black holes in an analytical manner. Our analysis reveals a new underlying recursive structure that involves multiple polylogarithms. We focus on gravitational, electromagnetic, and conformally coupled scalar perturbations subject to Dirichlet and Robin boundary conditions. The low-lying modes of the scalar sector of gravitational perturbations and its hydrodynamic limit are studied in detail.https://doi.org/10.1007/JHEP11(2023)059Black HolesClassical Theories of GravitySupersymmetric Gauge TheoryHolography and Hydrodynamics |
| spellingShingle | Gleb Aminov Paolo Arnaudo Giulio Bonelli Alba Grassi Alessandro Tanzini Black hole perturbation theory and multiple polylogarithms Journal of High Energy Physics Black Holes Classical Theories of Gravity Supersymmetric Gauge Theory Holography and Hydrodynamics |
| title | Black hole perturbation theory and multiple polylogarithms |
| title_full | Black hole perturbation theory and multiple polylogarithms |
| title_fullStr | Black hole perturbation theory and multiple polylogarithms |
| title_full_unstemmed | Black hole perturbation theory and multiple polylogarithms |
| title_short | Black hole perturbation theory and multiple polylogarithms |
| title_sort | black hole perturbation theory and multiple polylogarithms |
| topic | Black Holes Classical Theories of Gravity Supersymmetric Gauge Theory Holography and Hydrodynamics |
| url | https://doi.org/10.1007/JHEP11(2023)059 |
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