Extremal Black Hole Decay in de Sitter Space
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866913482007379968 |
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| author | Aalsma, Lars van der Schaar, Jan Pieter Visser, Manus |
| author_facet | Aalsma, Lars van der Schaar, Jan Pieter Visser, Manus |
| contents | The decay of extremal charged black holes has been a useful guidance to derive consistency conditions in quantum gravity. In de Sitter space it has been argued that requiring (extremal) charged Nariai black holes to decay without forming a big crunch singularity yields the Festina Lente (FL) bound: particles with mass $m_s$ and charge $q$ should satisfy $m_s^2 \gg M_pHq$, where $M_p$ is the Planck mass and $H$ the Hubble parameter. Using a tunneling approach we show that the decay probability of charged black holes in de Sitter space in the s-wave sector is $P\sim \exp(ΔS_b)$, where~$ΔS_b$ is the change in the black hole entropy. We find that the FL bound corresponds to $ΔS_b \leq -1$ in the Nariai and probe limit. However, taking into account backreaction we identify unsuppressed decay channels, which might be subdominant, that violate this bound but nonetheless do not result in a big crunch for every observer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_13742 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Extremal Black Hole Decay in de Sitter Space Aalsma, Lars van der Schaar, Jan Pieter Visser, Manus High Energy Physics - Theory General Relativity and Quantum Cosmology The decay of extremal charged black holes has been a useful guidance to derive consistency conditions in quantum gravity. In de Sitter space it has been argued that requiring (extremal) charged Nariai black holes to decay without forming a big crunch singularity yields the Festina Lente (FL) bound: particles with mass $m_s$ and charge $q$ should satisfy $m_s^2 \gg M_pHq$, where $M_p$ is the Planck mass and $H$ the Hubble parameter. Using a tunneling approach we show that the decay probability of charged black holes in de Sitter space in the s-wave sector is $P\sim \exp(ΔS_b)$, where~$ΔS_b$ is the change in the black hole entropy. We find that the FL bound corresponds to $ΔS_b \leq -1$ in the Nariai and probe limit. However, taking into account backreaction we identify unsuppressed decay channels, which might be subdominant, that violate this bound but nonetheless do not result in a big crunch for every observer. |
| title | Extremal Black Hole Decay in de Sitter Space |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2311.13742 |