Abstract
We investigate which 4-derivative extensions of Einstein-Maxwell theory admit multi-extremal black hole solutions with gravitational force balanced by Coulomb force. We obtain a set of constraints on the 4-derivative couplings by exploring various probe limits in multi-black hole systems. It turns out that these constraints are tighter than those needed to protect the mass-charge ratio of extremal black holes from higher derivative corrections. In fact, they are so strong that the Majumdar-Papapetrou multi-black solutions are unmodified by the force-free combinations of the 4-derivative couplings. Explicit examples of such 4-derivative couplings are given in 4-and 5-spacetime dimensions. Interestingly these include curvature-squared supergravity actions and the quasi-topological F 4 term.
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20 August 2024
An Erratum to this paper has been published: https://doi.org/10.1007/JHEP08(2024)142
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Acknowledgments
We are grateful to discussions with Dr. Liang Ma and comunications with Dr. Alejandro Ruiperez. We also thank Prof. Hong Lu for his comments on an earlier version of this draft. This work is supported by National Natural Science Foundation of China (NSFC) under grant No. 12175164. This work is also partially supported by Peng Huanwu Center for Fundamental Theory, under grant No.12247103. Y.P. also acknowledges support by the National Key Research and Development Program under grant No. 2022YFE0134300.
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Hu, PJ., Pang, Y. Force-free higher derivative Einstein-Maxwell theory and multi-centered black holes. J. High Energ. Phys. 2023, 139 (2023). https://doi.org/10.1007/JHEP09(2023)139
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DOI: https://doi.org/10.1007/JHEP09(2023)139