Wormholes as perturbations of near-horizon black hole geometries: no-go theorems within effective field theories
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| Format: | Preprint |
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2025
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| author | Kanai, Takamasa Maeda, Kengo Yoshida, Daisuke |
| author_facet | Kanai, Takamasa Maeda, Kengo Yoshida, Daisuke |
| contents | We reformulate the construction of wormhole solutions as perturbations around near-horizon geometries of near-extremal Reissner-Nordström black holes in four dimensions and equal-angular-momenta Myers-Perry black holes in five dimensions. When the negative Casimir energy is taken as the source, this framework reduces to the Maldacena-Milekhin-Popov construction for magnetically charged wormholes. We then show that, in contrast, such perturbative constructions cannot be realized within the effective field theory approach to higher-derivative corrections. Remarkably, this conclusion holds irrespective of the specific form of the correction terms. The key observation is that the enhanced symmetries in the near-horizon region severely constrain the effective energy-momentum tensor near the throat. This prevents the formation of the traversable throat structure. Our analysis therefore establishes no-go theorems: traversable wormholes cannot arise perturbatively from Reissner-Nordström or Myers-Perry black holes in an effective field theory approach. Their realization would require either new ingredients, such as Casimir energy, or black holes with reduced symmetry. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_21017 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Wormholes as perturbations of near-horizon black hole geometries: no-go theorems within effective field theories Kanai, Takamasa Maeda, Kengo Yoshida, Daisuke General Relativity and Quantum Cosmology High Energy Physics - Theory We reformulate the construction of wormhole solutions as perturbations around near-horizon geometries of near-extremal Reissner-Nordström black holes in four dimensions and equal-angular-momenta Myers-Perry black holes in five dimensions. When the negative Casimir energy is taken as the source, this framework reduces to the Maldacena-Milekhin-Popov construction for magnetically charged wormholes. We then show that, in contrast, such perturbative constructions cannot be realized within the effective field theory approach to higher-derivative corrections. Remarkably, this conclusion holds irrespective of the specific form of the correction terms. The key observation is that the enhanced symmetries in the near-horizon region severely constrain the effective energy-momentum tensor near the throat. This prevents the formation of the traversable throat structure. Our analysis therefore establishes no-go theorems: traversable wormholes cannot arise perturbatively from Reissner-Nordström or Myers-Perry black holes in an effective field theory approach. Their realization would require either new ingredients, such as Casimir energy, or black holes with reduced symmetry. |
| title | Wormholes as perturbations of near-horizon black hole geometries: no-go theorems within effective field theories |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.21017 |