Higher-Derivative Corrections to Reissner--Nordström Black Holes from Worldline QFT
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911733190230016 |
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| author | Ajith, Siddarth Rajagopal, Ravisankar Rifat, Nur Vaman, Diana Yagi, Kent |
| author_facet | Ajith, Siddarth Rajagopal, Ravisankar Rifat, Nur Vaman, Diana Yagi, Kent |
| contents | In this paper we derived the corrections to the Reissner-Nordström black hole when higher-derivative $RF^2$ terms (contractions of the Riemann tensor with the Maxwell field strength squared) are added to the Einstein-Maxwell action. Such terms arise naturally in the context of effective field theories. We used wordline QFT methods to obtain the leading order post-Minkowskian corrections. We verified these results by solving the modified Einstein-Maxwell field equations in closed form, to all orders in Newton's constant $G$. We discussed the first law and computed the entropy of the perturbed black holes. The extremal black hole temperature is non-negative precisely when the weak gravity conjecture is satisfied. This condition on the extremal black hole temperature rules out Drummond-Hathrell theory. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_31331 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Higher-Derivative Corrections to Reissner--Nordström Black Holes from Worldline QFT Ajith, Siddarth Rajagopal, Ravisankar Rifat, Nur Vaman, Diana Yagi, Kent High Energy Physics - Theory General Relativity and Quantum Cosmology In this paper we derived the corrections to the Reissner-Nordström black hole when higher-derivative $RF^2$ terms (contractions of the Riemann tensor with the Maxwell field strength squared) are added to the Einstein-Maxwell action. Such terms arise naturally in the context of effective field theories. We used wordline QFT methods to obtain the leading order post-Minkowskian corrections. We verified these results by solving the modified Einstein-Maxwell field equations in closed form, to all orders in Newton's constant $G$. We discussed the first law and computed the entropy of the perturbed black holes. The extremal black hole temperature is non-negative precisely when the weak gravity conjecture is satisfied. This condition on the extremal black hole temperature rules out Drummond-Hathrell theory. |
| title | Higher-Derivative Corrections to Reissner--Nordström Black Holes from Worldline QFT |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2605.31331 |