JHEP, 09, 139 (2023)
Force-free higher derivative Einstein-Maxwell theory and multi-centered black holes
Pengju Hu1 and Yi Pang1, 2, *
1 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin 300350, China.
2 Peng Huanwu Center for Fundamental Theory, Hefei, Anhui 230026, China.
* pangyi1@tju.edu.cn
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 F4 term.
