Exploring quantum fields in rotating black holes
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917283533684736 |
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| author | Klein, Christiane K. M. |
| author_facet | Klein, Christiane K. M. |
| contents | In this paper, we discuss the Unruh state for a free scalar quantum field on Kerr-de Sitter under the assumption of mode stability. We summarise the proof of its Hadamard property that was previously given in [C.Klein, Annales Henri Poincaré 24 (2023) 7, 2401-2442] for sufficiently small black-hole rotation and cosmological constant, and show how it can be generalised to any subextreme black-hole angular momentum in the same range of the cosmological constant. This is done by extending a geometric analysis of the trapped set of the Kerr spacetime [D. Häfner, C. Klein, Lett.Math.Phys. 114 (2024) 5, 119] to Kerr-de Sitter. Moreover, we discuss the application of this state in the numerical study of quantum effects at the inner horizon [C. Klein, M. Soltani, M. Casals, S. Hollands, Phys.Rev.Lett. 132 (2024) 12, 121501], and describe a universality result for these effects [P. Hintz, C. Klein, Class.Quant.Grav. 41 (2024) 7, 075006]. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_17623 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exploring quantum fields in rotating black holes Klein, Christiane K. M. General Relativity and Quantum Cosmology Mathematical Physics In this paper, we discuss the Unruh state for a free scalar quantum field on Kerr-de Sitter under the assumption of mode stability. We summarise the proof of its Hadamard property that was previously given in [C.Klein, Annales Henri Poincaré 24 (2023) 7, 2401-2442] for sufficiently small black-hole rotation and cosmological constant, and show how it can be generalised to any subextreme black-hole angular momentum in the same range of the cosmological constant. This is done by extending a geometric analysis of the trapped set of the Kerr spacetime [D. Häfner, C. Klein, Lett.Math.Phys. 114 (2024) 5, 119] to Kerr-de Sitter. Moreover, we discuss the application of this state in the numerical study of quantum effects at the inner horizon [C. Klein, M. Soltani, M. Casals, S. Hollands, Phys.Rev.Lett. 132 (2024) 12, 121501], and describe a universality result for these effects [P. Hintz, C. Klein, Class.Quant.Grav. 41 (2024) 7, 075006]. |
| title | Exploring quantum fields in rotating black holes |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2510.17623 |