Gluing charged black holes into de Sitter space
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910910469111808 |
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| author | Verlemann, Markus |
| author_facet | Verlemann, Markus |
| contents | We extend Hintz's cosmological black hole gluing result to the Einstein-Maxwell system with positive cosmological constant by gluing multiple Reissner-Nordström or Kerr--Newman--de Sitter black holes into neighbourhoods of points in the conformal boundary of de Sitter space. We determine necessary and sufficient conditions on the black hole parameters -- related to Friedrich's conformal constraint equations -- for this gluing to be possible. We also improve the original gluing method slightly by showing that the construction of a solution in Taylor series may be accomplished using an exactness argument, eliminating the need for an early gauge-fixing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_08869 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gluing charged black holes into de Sitter space Verlemann, Markus General Relativity and Quantum Cosmology Mathematical Physics Analysis of PDEs Differential Geometry 83C05 83C22 83C57 (Primary), 35B40 35C20 35L05 (Secondary) We extend Hintz's cosmological black hole gluing result to the Einstein-Maxwell system with positive cosmological constant by gluing multiple Reissner-Nordström or Kerr--Newman--de Sitter black holes into neighbourhoods of points in the conformal boundary of de Sitter space. We determine necessary and sufficient conditions on the black hole parameters -- related to Friedrich's conformal constraint equations -- for this gluing to be possible. We also improve the original gluing method slightly by showing that the construction of a solution in Taylor series may be accomplished using an exactness argument, eliminating the need for an early gauge-fixing. |
| title | Gluing charged black holes into de Sitter space |
| topic | General Relativity and Quantum Cosmology Mathematical Physics Analysis of PDEs Differential Geometry 83C05 83C22 83C57 (Primary), 35B40 35C20 35L05 (Secondary) |
| url | https://arxiv.org/abs/2504.08869 |