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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2501.05549 |
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| _version_ | 1866912451142877184 |
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| author | Alberti, Maria Zahn, Jochen |
| author_facet | Alberti, Maria Zahn, Jochen |
| contents | We compute the semiclassical current and stress-energy fluxes both at the event and Cauchy horizon of a near-extremal Reissner-Nordström black hole. We consider a minimally-coupled, massless, charged scalar field in the Unruh state, describing an evaporating black hole. The near-extremal domain allows for an analytical treatment of the scattering problem of the Boulware modes both in the interior and exterior regions. We present this and explicit analytical expressions for $\langle j_v\rangle $, $\langle T_{vv}\rangle$ at the horizons, as well as estimates for $\langle j_u\rangle$ and $\langle T_{uu}\rangle $. We cross-check the analytical results numerically by bringing the radial Klein-Gordon equation into the form of the confluent Heun equation. Inserting these expectation values as sources to the Einstein-Maxwell equations, we find that at least in the near-extremal regime of small field charge, quantum effects drive the black hole interior away from extremality. Our work generalizes the known results for the real scalar field [Phys. Rev. D 104, 024066] and is in agreement with recent work on charged fields in expanding Reissner-Nordström deSitter universes [Phys. Rev. Lett. 127, 231301, Phys. Rev. D 104, 025009]. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_05549 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum effects in near-extremal charged black hole spacetimes Alberti, Maria Zahn, Jochen General Relativity and Quantum Cosmology We compute the semiclassical current and stress-energy fluxes both at the event and Cauchy horizon of a near-extremal Reissner-Nordström black hole. We consider a minimally-coupled, massless, charged scalar field in the Unruh state, describing an evaporating black hole. The near-extremal domain allows for an analytical treatment of the scattering problem of the Boulware modes both in the interior and exterior regions. We present this and explicit analytical expressions for $\langle j_v\rangle $, $\langle T_{vv}\rangle$ at the horizons, as well as estimates for $\langle j_u\rangle$ and $\langle T_{uu}\rangle $. We cross-check the analytical results numerically by bringing the radial Klein-Gordon equation into the form of the confluent Heun equation. Inserting these expectation values as sources to the Einstein-Maxwell equations, we find that at least in the near-extremal regime of small field charge, quantum effects drive the black hole interior away from extremality. Our work generalizes the known results for the real scalar field [Phys. Rev. D 104, 024066] and is in agreement with recent work on charged fields in expanding Reissner-Nordström deSitter universes [Phys. Rev. Lett. 127, 231301, Phys. Rev. D 104, 025009]. |
| title | Quantum effects in near-extremal charged black hole spacetimes |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2501.05549 |