All near-horizon symmetries of the Schwarzschild black hole in linearised gravity
Abstract Asymptotic symmetries are known to constrain the infrared behaviour of scattering processes in asymptotically flat spacetimes. By the same token, one expects symmetries of the black hole horizon to constrain near-horizon gravitational scattering. In this paper, we take a step towards establ...
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2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)031 |
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| author | Ankit Aggarwal Nava Gaddam |
| author_facet | Ankit Aggarwal Nava Gaddam |
| author_sort | Ankit Aggarwal |
| collection | DOAJ |
| description | Abstract Asymptotic symmetries are known to constrain the infrared behaviour of scattering processes in asymptotically flat spacetimes. By the same token, one expects symmetries of the black hole horizon to constrain near-horizon gravitational scattering. In this paper, we take a step towards establishing this connection. We find all near-horizon symmetries that can be potentially relevant to gravitational scattering near the horizon of the Schwarzschild black hole. We study large diffeomorphisms of linearised perturbations of the Schwarzschild black hole in a partial wave basis and in a gauge that allows for gravitational radiation crossing the event horizon. This setup is ideally suited for studying processes involving near-horizon gravitons like scattering and black hole evaporation. We find the most general near-horizon symmetries that are consistent with finite perturbations at the horizon. Since we do not impose any further boundary conditions, these symmetries represent the biggest set of symmetries in this setting. We find the associated covariant charges to be finite and non-zero showing that these symmetries are physical. Interestingly, for a large black hole, the dominant symmetries are just two copies of u(1). |
| format | Article |
| id | doaj-art-a90e6e8e006542ed86d737ac9e913a9b |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
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| series | Journal of High Energy Physics |
| spelling | doaj-art-a90e6e8e006542ed86d737ac9e913a9b2025-01-19T12:06:57ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112110.1007/JHEP01(2025)031All near-horizon symmetries of the Schwarzschild black hole in linearised gravityAnkit Aggarwal0Nava Gaddam1Institute for Theoretical Physics Amsterdam and Delta Institute for Theoretical Physics, University of AmsterdamInternational Centre for Theoretical Sciences, Tata Institute of Fundamental ResearchAbstract Asymptotic symmetries are known to constrain the infrared behaviour of scattering processes in asymptotically flat spacetimes. By the same token, one expects symmetries of the black hole horizon to constrain near-horizon gravitational scattering. In this paper, we take a step towards establishing this connection. We find all near-horizon symmetries that can be potentially relevant to gravitational scattering near the horizon of the Schwarzschild black hole. We study large diffeomorphisms of linearised perturbations of the Schwarzschild black hole in a partial wave basis and in a gauge that allows for gravitational radiation crossing the event horizon. This setup is ideally suited for studying processes involving near-horizon gravitons like scattering and black hole evaporation. We find the most general near-horizon symmetries that are consistent with finite perturbations at the horizon. Since we do not impose any further boundary conditions, these symmetries represent the biggest set of symmetries in this setting. We find the associated covariant charges to be finite and non-zero showing that these symmetries are physical. Interestingly, for a large black hole, the dominant symmetries are just two copies of u(1).https://doi.org/10.1007/JHEP01(2025)031Black HolesGauge SymmetryGauge-Gravity CorrespondenceScattering Amplitudes |
| spellingShingle | Ankit Aggarwal Nava Gaddam All near-horizon symmetries of the Schwarzschild black hole in linearised gravity Journal of High Energy Physics Black Holes Gauge Symmetry Gauge-Gravity Correspondence Scattering Amplitudes |
| title | All near-horizon symmetries of the Schwarzschild black hole in linearised gravity |
| title_full | All near-horizon symmetries of the Schwarzschild black hole in linearised gravity |
| title_fullStr | All near-horizon symmetries of the Schwarzschild black hole in linearised gravity |
| title_full_unstemmed | All near-horizon symmetries of the Schwarzschild black hole in linearised gravity |
| title_short | All near-horizon symmetries of the Schwarzschild black hole in linearised gravity |
| title_sort | all near horizon symmetries of the schwarzschild black hole in linearised gravity |
| topic | Black Holes Gauge Symmetry Gauge-Gravity Correspondence Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP01(2025)031 |
| work_keys_str_mv | AT ankitaggarwal allnearhorizonsymmetriesoftheschwarzschildblackholeinlinearisedgravity AT navagaddam allnearhorizonsymmetriesoftheschwarzschildblackholeinlinearisedgravity |