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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Online-Zugang: | https://arxiv.org/abs/2310.16034 |
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| _version_ | 1866913438655053824 |
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| author | Riojas, Marcos Sun, Hao-Yu |
| author_facet | Riojas, Marcos Sun, Hao-Yu |
| contents | In this letter, we show the Unruh temperature of the photon sphere for an AdS$_4$-Schwarzschild black hole can be determined holographically from the retarded Green's function and is proportional to its circumference according to a boundary observer. We then sharpen the conjecture that the photon sphere, as seen by a boundary observer, is the spatial Fourier transform of the response function. The conjecture is found to be in excellent agreement with our numerics after certain long-lived excitations -- associated with geodesics traveling between boundary points -- are removed from the response, which is then controlled by the short-lived excitations of the AdS black hole. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_16034 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Photon Sphere and Response Functions in Holography Riojas, Marcos Sun, Hao-Yu High Energy Physics - Theory In this letter, we show the Unruh temperature of the photon sphere for an AdS$_4$-Schwarzschild black hole can be determined holographically from the retarded Green's function and is proportional to its circumference according to a boundary observer. We then sharpen the conjecture that the photon sphere, as seen by a boundary observer, is the spatial Fourier transform of the response function. The conjecture is found to be in excellent agreement with our numerics after certain long-lived excitations -- associated with geodesics traveling between boundary points -- are removed from the response, which is then controlled by the short-lived excitations of the AdS black hole. |
| title | The Photon Sphere and Response Functions in Holography |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2310.16034 |